Deceptive Pivot Points in J.S. Bach’s Orgelbüchlein:

Jan Overduin is Professor of Music at Wilfrid Laurier University in Waterloo, Ontario, where he teaches organ and church music. He began studies in The Netherlands, where he was born, and continued in Canada at the University of Western Ontario, where he received the Masters degree in performance. The list of his teachers includes Marie-Claire Alain, Peter Hurford, and Jean Langlais. He has directed many choirs including the Wilfrid Laurier University Choir and Chapel Choir, the Niagara Chamber Choir (which he founded), the Menno Singers, the Mennonite Mass Choir. He has been actively involved in church music for over 40 years, most recently as director of music at St. Matthew's Lutheran Church in Kitchener, Ontario from 1985 to 1997. As organ soloist, he has recorded numerous broadcasts for radio and has played concerts in Europe, North America, and the Far East. His discography includes nine CDs with trumpeter Eric Schultz (on the German labels 'ebs' and 'Arte Nova Classics'), a solo album recorded at Ottobeuren, Germany (on 'ebs'), and a recent CD with recorder virtuoso Matthew Jones. Forthcoming is a book on improvisation for organists, published by Oxford University Press, and a new organ edition of the Art of Fugue. Jan Overduin may be contacted at [email protected] and welcomes visitors at his website http://info.wlu.ca/ ~wwwmusic/overduin/index.htm

The Kunst der Fuge, BWV 1080, a work consisting of 14 fugues and 4 canons all on one theme, is Bach's farewell, his testament. It is a very solemn and personal work, and ends with Bach's only fugue on his name, the notes B-flat, A, C, and B-natural (B, A, C, and H in German). Never before did he use this chromatic theme on such a grand scale or with such clarity as here at the end of Contrapunctus XIV. It is as if he puts his signature not only to the KdF, but also to his life's work. In fact it is uncanny, this very clear reference to his own name. The aural effect is almost dizzying, as is the visual appearance of the last page, with C.P.E. Bach's handwritten note about his father's death: "In this fugue, where the name BACH appears as a countersubject, the composer died." Like Shakespeare in the character of Prospero in The Tempest, Bach himself appears on stage, but it is to say "good-bye."

It is fitting that Bach reserved the 14th fugue for the use of the plain theme in clearest form, because of the relationship between the number 14 and his name. By allowing each letter of the alphabet a number (a=1, b=2, c=3, d=4 and so on), Bach's name adds up to 14 (2 + 1 + 3 + 8). Moreover, the name J.S. Bach adds up to its retrograde 41 (9 + 18 + 14). Though Bach's familiarity with numbers is not documented, the cabalistic numerical ideas were common knowledge.1 The work may have been intended as his third and final offering to the Mizler Society, which he had joined in June 1747, waiting until he was the 14th member to join. He also had his portrait painted for this society with 14 buttons on his jacket. Perhaps his aim was to finish the KdF by June 1749, as his third and final offering, since a condition of membership obliged him to submit a published "scientific" work every year until the age of 65.2

The more I play this work, the more aware I become of how saturated it is with personal references or "signatures." The B-A-C-H theme in the obvious four-note form or more subtly through the use of themes that contain 14 or 41 notes permeates the entire KdF. A casual listener or player is not likely to be conscious of some of these allusions, but the fact that they are there in such abundance imbues the work with a personal intensity and warmth that can easily be felt. While some or even many of the "B-A-C-H's" may occur spontaneously as a result of Bach's use of chromatic language, there are reasons to suspect that their incorporation is part of the overall design of the work and intention of the composer. Bach is not merely scribbling his name all over the score or playing numerological games. The chromatic language itself, the use of the key of D minor, the shape of theme and its inversion with its hymn-tunes analogies, the dramatic use of silence, various other motifs--it is all these and more, together with the "signatures," that give the work its deeply personal flavor.

The following examples include only appearances of the B-A-C-H theme that use the four actual notes B-flat, A, C, and B-natural. Excluded are all transpositions of the motif, e.g. E-flat, D, F, E etc., of which there are numerous examples. All examples have the four notes in the same octave.  Again, by relaxing this restriction, the list could be greatly expanded. Included however are those statements of the motif that are decorated with unessential notes, especially between the second and third notes; the unessential notes may serve to hide the visual but usually do not obscure the aural impact of the motif. These observations do not pretend to be profound, but are merely the result of a growing familiarity with and fondness for this stupendous work. If they have any validity, it is in underlining the deeply personal nature of the KdF.

Immediately in Contrapunctus I, in the most obvious voice, i.e. the soprano, in measures 10-12 Bach features the four-note name theme. Bach "hides" the eighth-note E by having it dip below the alto note G, so that even though the soprano part by itself really spells B-E-A-C-H (not a word in German), the ear perceives it as B-A-C-H. (Example 1)

The B-A-C-H motif is more hidden in Contrapunctus II, though increasing chromaticism causes it to occur more frequently. It appears twice in measures 35 to 37, both times in the dotted note motif that dominates this fugue. Though the first two notes are separated from the third and fourth by a complete measure, they occur in adjacent statements of the dotted note motif, and therefore appear related and connected. (Example 2)

Measures 22-23 of Contrapunctus III contain a very clear statement of B-A-C-H, shared between the upper two voices (B-A in the soprano, C-H in the alto).  While this sharing serves on the one hand to hide the motif, it also underlines it, since the effect is that of an ornamented version: the B-A-C-H motif beautified in a flowery way. (Example 3)

One of the most poignant of all references to the name of Bach occurs in Contrapunctus IV. The shape of the regular inverted theme is such that there is a noticeable high point on the notes B-flat and its "resolution" to the semitone below. There is also a marked similarity to the hymn-tune "Aus tiefer Noth schrei ich zu dir," a hymn paraphrase of Psalm 130 (De profundis). The resemblance in fact is too obvious to ignore.3 In Contrapunctus IV, and only here, Bach transposes the second half of the theme up a whole tone, so that the high point of the theme now is C-H (C and B-natural) instead of B-A (B-flat and A). This causes a sudden modulation to another key, the dominant of the dominant, a rather wrenching and quite dramatic shift of key. It happens first in bar 61, and thereafter four more times (in other words, not every time the theme is heard). The change from the expected high point B-A to C-H may not be exactly an obvious reference to Bach's name, but certainly for the player, the alteration of the climax of the theme is all the more dramatic and personal, especially when the personal nature of the hymn "Aus tiefer Noth schrei ich zu dir" is taken into consideration as well. Not only the personal pronoun is emphasized by this veiled reference to B-A-C-H, but also the idea of "calling" (schreien).   (Examples 4a and 4b) 

"Calling" is also happening constantly throughout this fugue through the use of the pervading "call-motif" of the descending minor third. Towards the end of Contrapunctus IV occurs another and much more traditional example of the use of the B-A-C-H motif: in bars 135-136 it is slipped in once into the tenor voice, like a hardly noticeable signature. (Example 4c)

In Contrapunctus V, the KdF theme appears consistently in 14-note form, as it will continue to do in much of the rest of the KdF, with the two descending thirds smoothed out with passing notes. Thus the theme itself is being identified with the name of Bach. Moreover, it is especially interesting that the B-A-C-H motif is heard quite plainly and in the most obvious voice (soprano) exactly in bar 41. (Examples 5a and 5b)

Contrapunctus VI states the B-A-C-H motif near the beginning, in measures 4 and 5 in the soprano. Again the first two notes are separated by a measure from the third and fourth, but they are perceived to be related to each other through their rhythmic emphasis. (Example 6)

Contrapunctus VII features the B-A-C-H motif in much the same way, for example in the tenor part of measures 17-19. Within the context of a statement of the KdF theme in 14-note form (and in diminution), the notes B-A are again separated from C-H by a measure, but each pair of notes comes at a similar point, i.e. the end of two parallel phrases. (Example 7)

With the introduction of a new theme that is rather chromatic, numerous instances of B-A-C-H occur in Contrapunctus VIII. In measure 11 a very clear statement of B-A-C-H is shared between the two lower voices (Example 8a). In measures 85-86, the motif is featured in the soprano and in measure 112 in the bass (Examples 8b and 8c). The main KdF theme (inverted), which occurs as theme III in this fugue (beginning in measure 95, in the alto), consists always of exactly 14 notes. More noticeably, each measure begins with a quarter rest (Example 8d). The use of silence on the downbeat is a technique often used by Bach to symbolize eternity and/or death.4 Thus the form of the theme in this fugue forms associations not only with the name "Bach" (14 notes), but also with "death" (silence on the downbeats). A convincing example of this technique to express longing for death is often encountered in Bach's chorales, such as at the end of Cantata #56 (Ich will den Kreuzstab gerne tragen). (Example 8e)

In Contrapunctus IX, in bars 84-85, the B-A-C-H motif is shared between the soprano (B-flat, A) and alto (C, B-natural), but because the voices cross, the motif appears to remain in the same voice, the alto. (Example 9)

In Contrapunctus X, again exactly in bar 40-41, the B-A-C-H motif makes an appearance in the two upper voices. (Example 10)

The 14-note version of the main KdF theme, with rests on every downbeat, now  "rectus," boldly opens Contrapunctus XI (Example 11a). The inversion of the second theme of Contrapunctus VIII, which in this fugue appears as theme III, very clearly spells B-A-C-H. Donald Tovey rejects this allusion to the name of Bach, since strictly speaking the theme misspells his name as B-A-C-C-C-H, yet to a listener (as opposed to a mere score-reader) this is almost as obvious an allusion to the name of Bach as in the final fugue.  (Example 11b) The B-A-C-H motif occurs frequently, not only in connection with the third theme, but elsewhere as well. An example is found in measure 144, with the motif shared between the alto (B-flat, A) and the soprano (C, B-natural).  (Example 11c)     

Contrapunctus XII and XIII, the two completely invertible "mirror" fugues, leave the composer with very little room to maneuver.  The listener has no idea of the strict rules behind these wonderful pieces, especially the playful Contrapunctus XIII. Even here the B-A-C-H motif pervades everything, though not as overtly as elsewhere in the KdF. The descending semitones B-A and C-H permeate the texture, but the four notes never occur together, and seldom within the same octave. One reason that Bach chose D minor as the key for this work may well have been that it allowed him to "season" fugues like Contrapunctus XII and XIII with these notes.  For example, C-H (the more unusual of the two pairs of notes) is used six times in measures 25-26 of Contrapunctus XIIb, just after several highly exposed B-A's. Appearances of the motif within one voice and within the compass of a minor third also occur (though somewhat more separated than usual) in measures 14-16 of Contrapunctus XIIa (bass) and measures 46-47 of Contrapunctus XIIb (bass). Similar concentrations of B-A and C-H occur in Contrapunctus XIII, imbuing the whole with the flavor of the BACH motif (e.g. in Contrapunctus XIIIa: eight times B-A in measures 32-35, followed by eight times C-H in measures 37-41).

Theme II of Contrapunctus XIV consists of exactly 41 notes, as if in direct preparation for the next theme, that of B-A-C-H itself (Example 12). There are also numerous examples of the B-A-C-H motif in the earlier part(s) of this fugue, again as if to prepare us for the plain statement of Theme III in measure 183. To list just three examples: measures 16-17 (tenor), 59-60 (alto/soprano), and 133-134 (alto).  (Examples 13, 14, and 15)

The evolution of the B-A-C-H motif is but one of many marvels of the KdF.  A constant companion in the background, like a quietly-flowing underground stream,5 in Contrapunctus XIV it finally appears quite alone and "naked," like a new-born babe. It is a paradoxical moment of loneliness and pity, sadness and comfort, weakness and strength. Almost immediately it is used in stretto and inversion, and "with the boldest and most mysterious harmonies"6 that are wrenching in their effect on us. It is at this point that this great composer, for whom nothing seemed impossible, especially in this work, leaves us forever. But the unfinished ending in which the composer is "called by name" also contains the promise of what "eye has not seen, nor ear heard." (I Cor. 2:9)

Notes

                        1.                  William Wright, The Organ--The Instrument and Its Literature (University of Toronto: private publ., 1994) 96.

                        2.                  J.S. Bach, Die Kunst der Fuge, ed. Davitt Moroney (Muenchen: G. Henle, 1989) vii.

                        3.                  The main theme in "rectus" form vaguely hints at "Vater unser" (Lord's Prayer). The descending thirds in Contrapunctus IV are also striking characteristics in some chorales, e.g., "Wie schön leuchtet der Morgenstern" (How lovely shines the morning star) and "Wer weiss, wie nahe mir mein Ende" (Who knows how near is my life's end). The most ornamented of all versions of the theme, as found in the Canon per Augmentationem in contrario Motu shows a striking resemblance to the "Agnus Dei" from the Mass in B minor.

                        4.                  Many of the more ornate chorale settings such as those in Schemelli's Gesangbuch illustrate this, e.g., "Lasset uns mit Jesu ziehen," "Es ist vollbracht," and "Liebster Gott, wann werd ich sterben?"  Examples in Das Orgelbüchlein include "Alle Menschen müssen sterben," and "Wir danken dir, Herr Jesu Christ, dass du für uns gestorben bist" (BWV 623 and 643).

                        5.                  In other words, like a Bach (German: brook).

                        6.                  Donald Francis Tovey, Essays in Musical Analysis: Chamber Music (first published in 1944; London: O.U.P., 1972) 88.

Alexander Fiseisky, born in Moscow, graduated with distinction from the Moscow Conservatoire as pianist and organist. He is an organ soloist of the Moscow State Philharmonic Society, head of the organ class at the Russian Gnessins’ Academy of Music in Moscow, and president of the Vladimir Odoyevsky Organ Center. He organized and served as artistic director for organ festivals in Moscow, St. Petersburg, Kiev, and Tallinn, among others. In 1997 he was honored by President Yeltsin with the title ‘Honored Artist of the Russian Federation’. Fiseisky has given concerts in more than 30 countries. In the Bach anniversary year of 2000 he played J. S. Bach’s entire organ works, twice in the context of EXPO 2000 in Hannover, and once in a single day in Düsseldorf as a Bach marathon. Sought after as a juror in international competitions, he has directed seminars and masterclasses in Europe and the USA. He is the dedicatee of numerous compositions, including works by Mikhail Kollontai, Vladimir Ryabov, Milena Aroutyunova, and Walther Erbacher. A musicologist, he has edited anthologies of organ music of Russia and of the Baltics (Bärenreiter-Verlag). He has many recordings to his credit, including the complete organ works of J. S. Bach.

It goes without saying that the primary
task of every performer who wishes to convey the meaning of any given musical work must first be to understand the original intention of the composer. And when the works in question are those of Johann Sebastian Bach, where the invisible thread that should link us to the era in which he lived seems to be irretrievably broken, the task takes on Herculean proportions. The aim of this analysis is to attempt a correct reading of the Clavierübung III—one of the most enigmatic works in the whole literature of the organ.
This work, which was composed at the high point of the composer’s creativity (1739), impresses us by its dimensions alone. It is part of a cycle of works, comprising the Six Partitas (Part 1, composed in 1731, BWV 825–830), the French Ouverture and the Italian Concerto (Part 2, composed in 1735, BWV 831, BWV 971), as well as the Goldberg Variations (Part 4, composed in 1742, BWV 988). And the Clavierübung III itself is also a cyclical work—it consists of 21 chorale preludes and four duets framed by a prelude and a fugue in E-flat major.
Bach certainly accorded the Clavierübung III particular importance. It is no coincidence that this was the first work for organ that he had published in Leipzig. What was Bach’s purpose in writing this work, and what means did he choose to fulfil it?

The history of the composition. The intentions and aims of the composer
The Clavierübung III was written to coincide with the 200th anniversary of Luther’s visit to Leipzig and the festal Whitsun service in St. Thomas Church on the 25th of May 1539, which effectively marked the official recognition of the Reformation in Leipzig. The Clavierübung III consists essentially of arrangements of chorales from the Protestant church service, and in its structure it is reminiscent of Luther’s Catechism, which consists of two parts: the Greater Catechism deals with the principles of faith, while the Lesser Catechism is directed more towards children and the less-educated part of the population. Correspondingly, each chorale melody—with the exception of Allein Gott in der Höh’ sei Ehr’ [Glory be to God alone on high]—is presented in two versions: a greater version which uses all the resources of the organ including the pedals, and a shorter manualiter version.
And indeed, because of its special structure, the Clavierübung III has often in the past been referred to as an “Organ Catechism,” and correspondingly it is usually referred to today as the “Organ Mass.” It is clear that neither of these two names do full justice to the structure of Bach’s composition. Nor do they explain the inclusion of the four duets.
The title of the work is as follows:

Dritter Theil / der / Clavier Übung / bestehend / in / verschiedenen Vorspielen / über die / Catechismus- und andere Gesaenge, / vor die Orgel: / Denen Liebhabern, und besonders denen Kennern / von dergleichen Arbeit, zur Gemüths Ergezung / verfertiget von / Johann Sebastian Bach, / Koenigl[ich] Pohlnischen, und Churfürstl[ich] Saechs[eschen] / Hoff-Compositeur, Capellmeister, und / Directore Chori Musici in Leipzig. / In Verlegung des Authoris.

[Third Part of the Clavierübung consisting of various preludes on the Catechism and other Hymns for the organ: for amateurs, and especially for connoisseurs of such work, for the refreshment of their souls, executed by Johann Sebastian Bach, Royal Polish and Electoral Saxon Court Composer, Capellmeister, and Directore Chori Musici in Leipzig. Published by the author.]

Bach here follows the example of his predecessor at St. Thomas Church, Johann Kuhnau (1660–1722), and modestly calls his work Clavierübung [Keyboard Exercise].2 He thereby encourages us, through diligent practice (Übung in German), to understanding his purpose in writing this work.
Let us accept this invitation.
The first question, even after a cursory look at Bach’s work, is probably “What does it represent in this compositional form? Are we to understand it as a unified dramatic whole or as a collection of diverse pieces for the keyboard?”
Characteristically, the usual concert practice suggests that the Clavierübung III is not seen as an integral work: virtually nobody plays the whole composition in its published form.3 But the question nevertheless remains: Is there really no suggestion of an overall dramatic structure within the work?
An analysis would help us to answer this question. But before we tackle it, we should—even very generally—look at some characteristics of the musical aesthetics and Bach’s particular compositional style during the period when he was working on the Clavierübung III.

The theological and philosophical basis of the work of J. S. Bach
Bach’s personal philosophy was heavily influenced by the philosophical ideas and the personality of Martin Luther (1483–1546). Books written by Luther accounted for a quarter of all the books in Bach’s private library. According to the personal inventory that was made after his death, Bach owned two complete editions of the works of Martin Luther in Latin and German, as well as works of his successors: Abraham Calov, Martin Chemnitz, Johannes Olearius, and others.4 The title page of an earlier version of the Clavier-Büchlein für Anna Magdalena Bach5 bears a note giving the title of the work as Anti-Calvinismus by August Pfeiffer, written in Bach’s own hand.
It is well known that Luther was a well-educated musician.6 In contrast to the majority of the reformers in the 16th century, Luther considered music to be a form of divine revelation. In the foreword to Georg Rhau’s anthology Symphoniae iucundae7 he wrote: “In summa: Die edle Musika ist nach Gottes Wort der höchste Schatz auf Erden.“8 [Summing up: Noble music is the greatest treasure on earth next to the Word of God.] He is quoted in the Encomion musices as giving a similar definition: “Musika ist eine schöne, liebliche Gabe Gottes, sie hat mich oft also erweckt und bewegt, daß ich Lust zu predigen gewonnen habe...”9 [One of the finest and noblest gifts of God is music. It has often aroused and moved me so that I have gained a desire to preach . . . ] And in a letter to Ludwig Senfl of 4 October 1530 we find the following lines in his handwriting:
Et plane judico, nec pudet asserere, post theologiam esse nullam artem, quae musicae possit aequari, cum ipsa sola post theologiam id praestet, quod alioqui sola theologia praestat, scilicet quietem et animum laetum…10
[I plainly judge, and do not hesitate to affirm, that except for theology there is no art that could be put on the same level with music, since except for theology, (music) alone produces what otherwise only theology can do, namely, a calm and joyful disposition.11]
Luther’s views were akin to those of Bach. Like the great reformer, Bach saw the world of music and the world of theology as very closely connected.12 A short handwritten treatise concerning figured bass, which Bach wrote while working on the Clavierübung III, is introduced with the following words:
Der Generalbaß ist das vollkommenste Fundament der Music welcher [auf einem Clavier] mit beyden Händen gespielt wird dergestalt das die lincke Hand die vorgeschriebenen Noten spielet die rechte aber Con- und Dissonantien darzu greift damit dieses eine wohlklingende Harmonie gebe zur Ehre Gottes und zulässiger Ergötzung des Gemüths und soll wie aller Music, also auch des General Basses Finis und End Uhrsache anders nicht, als nur zu Gottes Ehre und Recreation des Gemüths seyn. Wo dieses ists keine eigentliche Music sondern ein Teuflisches Geplerr und Geleyr.13
[The thorough-bass is the most perfect foundation of music. It is played with both hands on a keyboard instrument in such a way that the left hand plays the written notes, while the right hand strikes consonances and dissonances, so that this results in full-sounding Harmonie to the Honor of God and the permissible delight of the soul. The ultimate end or final goal of all music, including the thorough-bass, shall be nothing but for the Honor of God and the renewal of the soul. Where these factors are not taken in consideration, there is no true music, rather, devilish bawling and droning.14]

When Bach at the age of 23 left Mühl-hausen, he declared that the Endzweck [ultimate aim] of his creative work would be the regulirte kirchen music zu Gottes Ehren [regulated church music to the glory of God].15
One can further assess the musical and aesthetic views of the composer with the help of his annotations in the margins of a Bible that was published by Abraham Calov (1681–1682) in Wittenberg.16 These marginalia are quite valuable—they allow us to catch a glimpse of the personal views of their writer and open up his world for us.
Already in Exodus, Chapter 15, where the prophetess Miriam sings of the wonderful deeds of God, we can read in Bach’s own hand: “N.B. Erstes Vorspiel auf 2 Chören zur Ehre Gottes zu musiciren.” [N.B.: First prelude for two choirs to be sung to the glory of God.] As a comment on First Chronicles 29, v. 2117 we find the following statement by the composer:

Ein herrlicher Beweiß, daß neben andern Anstalten des Gottesdienstes, besonders auch die Musica von Gottes Geist durch David mit angeordnet worden.
[Splendid proof that, besides other arrangements for worship, music too was instituted through David by the Spirit of God.]18
First Chronicles 26 describes the choosing of musicians for the temple. Bach’s comment: “Dieses Capitel ist das wahre Fundament aller Gott gefälligen Kirchen Music.” [This chapter is the true foundation of all church music pleasing to God.]
And one final quote: Second Chronicles, chapter 5 contains the passage:

. . . it was the duty of the trumpeters and singers to make themselves heard in unison in praise and thanksgiving to the LORD, and when the song was raised, with trumpets and cymbals and other musical instruments, in praise to the LORD “For he is good; for his steadfast love endures for ever,” the house, the house of the LORD, was filled with a cloud, so that the priests could not stand to minister because of the cloud; for the glory of the LORD filled the house of God. (2 Chronicles 5:13–14)19

Bach annotates this text with a remarkable comment that has programmatic significance and shows not only his relationship to the composing, performing, and hearing of music, but also to the activities of a church musician in general: “Bey einer andächtigen Musique ist allezeit Gott mit seiner Gnaden Gegenwart.“ [Where there is devotional music, God with His grace is always present.]
These examples suffice to clarify where we must start if we wish to analyze the works of Johann Sebastian Bach. Albert Schweitzer wrote in his masterful fashion: “Music is an act of worship with Bach… For him, art was religion...”20 The orthodox Lutheran Bach, who was born and raised in Eisenach, Luther’s own town, where the façade of the main church of St. George was decorated with the Protestant motto “A mighty fortress is our God,” transcended in his music the boundaries of confession and creed. “In the last resort, however, Bach’s real religion was not orthodox Lutheranism, but mysticism. In his innermost essence he belongs to the history of German mysticism.”21
This mystical sensitivity to the presence of God and the desire to give witness to Him through music, coupled with his dazzling talent, enabled Bach in his later works to develop an astonishing artistic fusion, the likes of which had not been seen in the world’s cultural history.
In 1747 Bach was admitted to the Societät der musikalischen Wissenschaften [Society of the Musical Sciences], which his one-time pupil, the philosopher and music author Lorenz Christoph Mizler von Koloff (1711–1778), had founded.22 Mizler, a friend of Bach’s, was strongly influenced by Pythagorism and the rational philosophy of both G. W. Leibnitz (1646–1716) and Christian Wolff (1679–1754). He saw music as a mathematical science.23
The very fact that Bach accepted Mizler’s invitation to join the Societät der musikalischen Wissenschaften is in itself significant. The composer obviously sympathized with Pythagoras’s ideas concerning the universe and its perfect harmony: a harmony that, according to the teachings of the ancient philosopher and mathematician, was expressed in numbers,24 and shared the convictions of his progenies.
J. S. Bach became the fourteenth member of the Society after G. F. Telemann (6) and G. F. Handel (11), together with other well-known scholars and philosophers. Following the established tradition, upon joining the Society he contributed a mite of his own. In addition to the Canonic variations on “Vom Himmel hoch, da komm’ ich her” (BWV 769), the composer also donated a portrait of himself to the Society, which had been painted in 1746 by Elias Gottlob Hausmann. A microanalysis of the music manuscript that appears in this painting has been made by Friedrich Smend. The results have thrown light on significant aspects of Bach’s compositional methods, which until the middle of the twentieth century had not attracted much attention by scholars.25
Smend’s publication gave new impetus to investigating numerology in the works of the Cantor of St. Thomas Church in Leipzig.26 It is not without interest that the researchers first found support in the writings of Christian theologians, but later more and more in the works of the ancient philosophers.27

Features of J. S. Bach’s compositional method
Albert Schweitzer defined Bach as a phenomenon in the history of music: “Bach is . . . a terminal point . . . everything merely leads up to him.”28 Indeed the works of the Cantor of St. Thomas make use not only of the fruits of earlier achievements in composition, but they are also the consummation of the most characteristic tendencies in the music of his own time. He makes use of a plethora of past and present expressive techniques and puts them at the disposal of one single goal: the creation of “devotional music.”
So what exactly were the artistic methods used by J. S. Bach as a composer?
Victor Hugo once described Gothic cathedrals as “symphonies in stone.” If we apply this quotation to the works of Bach, we could say that his larger compositions are “Gothic cathedrals” in music. And when one looks more closely at how Bach approached a new composition we can actually find quite close parallels to architecture. One could contrast, for example, Bach’s methods with the processes current in Viennese Classicism. Whereas in the latter period composition proceeded in a “linear” fashion, beginning from the melody in one of the voices, the methods of Bach’s time started from quite a different point. First of all, the composer laid down a concept of the entire work, or—to use the architectural analogy—he created a “ground-plan.” Then he proceeded to fill in the details. An example of this method is provided by the Orgelbüchlein [Little Organ Book] (BWV 599–644).
This working method gave free rein to the composer’s imagination. The proportions of the composition and its “saturation” with both obvious and more hidden details—factors that played an important role in determining the overall sense of the work—could easily be incorporated in the composition from its very beginning. Great importance was attached to Affektenlehre [Doctrine of the Affections], musical-rhetorical figures, and numerology.
Bach was without a doubt a brilliant “musical architect.” There is no room in his works for anything non-essential. He worked in a similar fashion to the architects of the Middle Ages: every detail has its origin in the concept governing the whole. And as with the medieval builders, much of this work remains, even today, shrouded in mystery. There are always new avenues opening up in these seemingly well-known works for new generations of interpreters to explore.
One can of course only penetrate more deeply into this musical architecture of most of Bach’s works if the connection to the words of the chorales used by the composer is taken into account. Johann Gotthilf Ziegler (1688–1747), a pupil of Bach, wrote in 1746: “Herr Capellmeister Bach, who is still living, instructed me when playing hymns, not to treat the melody as if it alone were important, but to play them taking into account the affect of the words.”29
Johann Mattheson (1681–1764) described music as sounding speech. Naturally this form of speech required its own lexicon in the shape of the definite progressions of musical notes bearing the semantic meaning—the motives, or musical-rhetorical figures, as they are called. These were quoted by Bach’s cousin, Johann Gottfried Walther (1684–1748), in his Musicalisches Lexicon [Music Encyclopaedia] (1732) and in the Praecepta der Musicalischen Composition [Principles of Musical Composition] (1708). Another important compositional aspect was the use of rhetorical laws in the construction of the musical structure, so that the composition began to resemble a religious sermon. As already mentioned, the Affektenlehre [Doctrine of the Affections], which depended upon the use of unequal temperament and the resulting different emotional character of the various keys, played an important role in composition,30 as did, surrounded as it was by an air of mystery, numerology with its different levels of meaning.
One of these levels is to be found in allegorical symbolism. Andreas Werckmeister (1645–1706) gave the following meanings to the first eight numbers in Musikalische Paradoxal-Discourse:31 1 – God, unity; 2 – The Word, God the Son; 3 – The Holy Spirit; 4 – The world of angels; 5 – Symbol of Mankind (“sensual Mankind” [Numerus sensualis]); 6 – Third Person of the Godhead (3×2);32 7 – Symbol of purity and peace; 8 – Symbol of wholeness and perfection.
Another level is that of semantic symbolism. For example, the number 7 symbolises the Seven Last Words on the Cross.
A third level is that of cabbalistic symbolism. Each letter of the alphabet stands for a particular number: a = 1, b = 2, c = 3 and so forth. The letters i and j share the number 9, while u and v are both attributed to the number 20. This means that particular combinations of letters each have a corresponding number. For example, the number 14 is the sum of the numerical values of the letters BACH. Thus the number 14 (or similar numbers, such as 140 or 1.4) would be associated with the composer Bach, whose name was assembled from these individual letters.
Numbers were also used as a constructive element, whereby the harmonic proportions of the ratios of simple numbers, which had been known since Pythagoras’s time, were incorporated into the composition. In addition, the proportio divina, the “Golden mean,” was also used. Naturally Bach was a consummate master of all these creative methods and he used them constantly in his compositions. The most obvious example is the Clavierübung III, which occupies a key position among all Bach’s works for the organ.
Let us examine the structure of this composition more closely.

The chorale preludes
The central part of the work under consideration, as Bach’s title-page suggests, is the collection of chorale preludes. This collection covers not only the essential elements of the Protestant liturgy but also of Luther’s Catechism.
Kyrie, Gott Vater in Ewigkeit – Christe, aller Welt Trost – Kyrie, Gott heiliger Geist [Kyrie, God the Father, eternal – Christ, consolation of all the world – Kyrie, God the Holy Spirit] (BWV 669–674)
The triad of the first chorales creates a sense of unity. The models for these autonomous works were certain verses of the Gregorian chorale Kyrie fons bonitatis (10th century),33 which display the characteristic of a refrain. (Example 1) Such a compositional method is seldom found among Bach’s organ works. In the context of Kyrie – Christe – Kyrie it allowed the composer to establish by means of music the essence of the “one and indivisible” Holy Trinity.34
The first motif of the cantus firmus is characterized by a stepwise progression. In the final statement of the cantus firmus (which is the same in all three compositions), note the upwards leap over a fifth. It is perhaps of interest to note that both the stepwise movement on the one hand and the prominent role of the fifth on the other (elements that determine the mood of the first chorales of the Clavierübung III) play an important part in the dramatic construction of the whole work.
The unity of the initial Kyrie – Christe – Kyrie is underlined by the fact that they are written in a single compositional style—the stile antico. Hermann Keller described them as “Orgelmotetten kunst-vollster Art” [The most highly artistic motets for organ].35 The music suggests greatness and quiet strength. The movement of the accompanying voices working out the motifs of the cantus firmus is linear. The cantus firmus, which is kept in longer note values, appears successively in the soprano (Kyrie, Gott Vater in Ewigkeit), in the tenor (Christe, aller Welt Trost), and in the bass (Kyrie, Gott heiliger Geist), and thus symbolizes in similar fashion the three Persons of the Trinity: God the Father, who is above all, who holds all in being; Jesus Christ, the mediator between God and humankind; and the life-giving Holy Spirit.
The epic element appears organically tied to the inner dynamics of the Kyrie – Christe – Kyrie. The contemplative character of the first chorale gives way to a feeling of emotional turbulence in the second chorale. The third chorale is energy-laden, an effect achieved by the introduction of a fifth voice, the acceleration of the musical structure, and the use of chromatics.
The end of the chorale Kyrie, Gott heiliger Geist is quite remarkable: against the backdrop of the final statement of the cantus firmus in the pedals, a tie overflowing with chromatic dissonances appears in the upper voices. These six-and-a-half bars differ quite markedly from all that has gone before. The sound as it were illustrates the text, which at this point contains a plea for mercy. The word eleison is accompanied by an ostinato, which climbs in seconds and by a chromatic figura parrhesia. The music suggests a certain personal involvement. It is significant that one finds the motif BACH in crab motion here (although it appears in other notes), and finally encounters the signature of the composer: CH-BA in the alto of the penultimate bar. (Example 2)
There are altogether 60 bars in the chorale prelude Kyrie, Gott heiliger Geist, which matches Werckmeister’s concept well.36 And there is of course the additional association with the creation of the world (the six days of God’s creative work).37 It is worth mentioning that in the first prelude of the Clavierübung III the numerical symbol for the name Bach already occurs more than once. The subsequent statement of the theme in the chorale Kyrie, Gott Vater in Ewigkeit is not only emphasized by the use of parallel thirds, but also by its extension to 14 notes (the numerical value of the letters BACH).38 And the cantus firmus in the chorale prelude Kyrie, Gott heiliger Geist has a total of 41 notes (JSBACH).
The three manualiter Kyries, each in the form of a small fughetta, all elaborate the opening motif of the appropriate verse of the chorale. Each following chorale begins in the soprano with the last note of the preceding chorale, which serves to underline the inner unity of the three manualiter pieces Kyrie – Christe – Kyrie.
An interesting aspect, which is seldom found within Bach’s organ works, is how the keys of the six pieces we have looked at are related. Each of them has at least two tonal centers. We should not let the key signature with three flats of the greater chorale preludes Kyrie – Christe – Kyrie confuse us: the rules of musical notation would certainly have allowed these preludes to have been written with only two flats. It would appear that the composer intentionally adopted three flats in order to strengthen the association with the Holy Trinity.

Allein Gott in der Höh’ sei Ehr’
[Glory be to God alone on high] (BWV 675–677)
A special feature of the following section of the Clavierübung III is the fact that it has three different preludes on the chorale Allein Gott in der Höh’ sei Ehr’—the Protestant version of the Gloria in excelsis from the Gregorian Mass for Easter Sunday. An explanation for this phenomenon must be sought in the text of the chorale itself,39 as it sings the praises of the Holy Trinity. Correspondingly, Bach includes three preludes here, each of which is a very individually elaborated piece in three-part texture.
In the first prelude, elegant and rhythmical canon-like outer voices surround the cantus firmus in the alto. The next prelude is executed as a trio sonata with pedal obligato. The cantus firmus appears from time to time in one or other of the voices of this exquisite trio and blends with the natural flow of the music.40 The last chorale prelude is a small fugato in the manner of an Italian versetto, based on the first notes of the cantus firmus.41 All in all, these three versions of the angel’s praise Allein Gott in der Höh’ sei Ehr’ create a feeling of incorporality and immateriality, convincing us by their clarity and purity, and creating an impression of harmony and perfection.
In this section of the Clavierübung III there is a small, at first glance insignificant, compositional detail that is, however, very interesting when seen from the perspective of the dramatic construction of the whole. The keys of the chorale preludes—F major, G major, and A major—form an ascending motif that is the basis for all three preludes on Allein Gott in der Höh’ sei Ehr’. The composer must assuredly have chosen this sequence of keys with the aim of thus uniting the whole cycle. Numerology reveals another interesting aspect—the numerical values of F, G, and A (6 +7 + 1) comes to 14, the same value as BACH.

Dies sind die heil’gen zehn Gebot’ [These are the holy Ten Commandments] (BWV 678–679)
Following the lead of Luther’s Catechism, Bach now begins an extensive section of the Clavierübung III with arrangements of the Gregorian chorale on an Old Testament theme, Dies sind die heil’gen zehn Gebot’.42 This is the last pair of chorales in a major key for the remainder of the cycle and the only time that Bach uses the same key for two consecutive compositions—Mixolydian G major, which is one of the purest keys in unequal temperament. It is significant that in both the Orgelbüchlein and in Cantata 77, the chorale melody Dies sind die heil’gen zehn Gebot’ is also written in this key.
The greater chorale prelude is developed as a composition for five voices, with the cantus firmus appearing a total of five times as a canon in the tenor. Thus it appears ten times in all, symbolizing an obedient response to the Law.43
The beginning of the prelude is wonderful: over a pedalpoint we hear, emerging out of the stillness, the motif of three descending notes, which we encountered earlier in the piece, worked out as a canon in the upper voices. The measured diatonic motion, the prepared suspensions, the surrounding motifs, and the ascending triads—these are just some of the musical means the composer has used to create a world of unspoiled purity, order, and harmony, in which the unsullied inhabitants of Paradise were at home before the Fall. (Example 3)
A change in character occurs in the fifth bar44 with the introduction of a figura suspirans45 and a motif of ‘falling seconds’, supplemented by a descending chromatic figura parrhesia motif in the alto. (Example 4)
Now the music is dominated by grief, sorrow, and misfortune.46 A change occurs once more in the sixth bar with the introduction of a figura kyklosis or figura circulatio in the alto47 (Example 5), which enriches the fabric with its new nuances. Thus with the help of symbolic motifs that are organically woven into the very fabric of the music, the composer brings us closer to the meaning of the chorale.
The First Commandment, which Luther in his Great Catechism deems to be the most important, is interpreted in the second verse of the chorale:

Ich bin allein dein Gott, der Herr,
kein Götter sollst du haben mehr,
du sollst mir ganz vertrauen dich,
von Herzens Grund lieben mich,
Kyrieleis.

[I alone am your God, your Lord,
No other Gods shall you have,
You shall put your whole trust in me,
Love me from the depth of your heart.
Kyrieleis.]

There is much evidence that precisely these lines were the starting point for Bach’s plan for the whole composition.
It is interesting to note that where the text speaks of “the love of God that comes out of the depths of the heart,” Bach interrupts the cantus firmus (bars 48–50) and increases the number of repetitions from ten to twelve. The motivation for this change can best be seen as an attempt to create a connection between the Old and New Testaments, whose interpreters in the new Christian congregations were the twelve Apostles. And Bach will follow the same intention to connect, through the symbolic comparison of the numbers ten and twelve, the Mosaic Law and the teachings of Jesus again in the Eucharist part, the conclusion of the chorale prelude section of the Clavierübung III.
It is well known that in the New Testament the Commandment of Love takes on decisive significance: “Jesus answered . . . you shall love the Lord your God with all your heart, and with all your soul, and with all your mind, and with all your strength” (Mark 12:30). The composer underlines the importance of this commandment with the help of special methods that are introduced at key points. When the word Herz [Heart] appears in the chorale text, Bach highlights it (in bars 46-47) with two groups of 16th notes, and when the words lieben mich [love me] appear in bars 51–52, he uses the heterolepsis, a musical rhetorical figure that creates the effect of two being united in one.48 Thus the composer uses musical means to portray the tangible content of the text. (Example 6)
Numerology plays an especially important role in the chorale prelude Dies sind die heil’gen zehn Gebot’.49 The chorale prelude has 60 bars (corresponding to the six days of creation). A pause first appears in the pedal after 37 notes, which can be seen as the Labarum, or Chi-Ro Christogram.50 The next pause comes after 60 further notes (another apparent reference to the creation of the cosmos). The subsequent melodic structure of the pedal line up to the pedalpoint in bar 29, which creates the illusion of a reprise, contains 47 notes. In the first bar, after the pause (bar 21), we encounter a leap of two octaves in the pedal, covering the entire range of the pedal, which is very unusual. (Example 7)
It is well known that Bach often referred to the Psalter, as did Luther in his Catechism. Psalm 47:2 states: “For the LORD, the Most High, is awesome, a great king over all the earth.” The text of the cantus firmus quoted at the point of the two octave leap is: Kein Götter sollst du haben mehr [No other Gods shall you have]. Michael Radulescu suggests that we should see the leap as an original “musical comment” by the composer, which, though hidden behind the abstract numerological symbolism, is to be understood as a distinct statement: “I am larger than life, I am your King.”51
The subsequent phrase in the pedal contains 147 notes. When Luther in his Catechism explains the meaning of the Ten Commandments, he quotes Psalm 147:11: “But the LORD takes pleasure in those who fear him, in those who hope in his steadfast love.” By introducing the number 147 into his chorale prelude Dies sind die heil’gen zehn Gebot’, Bach is underlining the actuality of the psalmist’s words quoted by Luther for the theme of the Decalogue.
The final notes of the cantus firmus in the second tenor are accompanied by a descending counterpoint in the first tenor, beginning with a chromatic figura parrhesia, which contains 12 notes (bars 57–60). The last phrase in the pedal consists of 14 notes (BACH), which is preceded by two short phrases of five notes each.
After all the above we can concur with those experts who suggest that the basic idea behind this work is love for the Creator.52 Additional confirmation for the correctness of this view is the number 315, which is the sum of all notes in the pedal. Albrecht Clement considers this number to be the numerical expression of the phrase Du sollt Gott, deinen Herren, lieben. [Literally: “You should love God, your Lord” as a direct rendering of the Luther Bible’s translation of Mark 12:30.]53
Characteristically, Bach introduces this summons in the title of Cantata 77, whose opening chorus is built upon the theme of the chorale prelude Dies sind die heil’gen zehn Gebot’, viz.

Du sollt Gott deinen Herren lieben
24 + 73 + 59 + 49 + 65 + 45 = 315

The manual fughetta on the chorale Dies sind die heil’gen zehn Gebot’, written in the form of a gigue, is also dominated by the number 10, although it also contains other interesting numerical allusions.
First of all, it is a four-voice fughetta and the theme is presented ten times (4×10 = 40). The same relationship can be seen in the exposition of the fughetta: ten bars of four dotted eighth notes (10×4 = 40). The theme runs for ten beats. Thus we see the same relationship in the exposition: 10×4 = 40. The theme in the second exposition is presented in inversion and in a shortened form (six beats). The relationship is correspondingly 6×4 = 24. And finally, the last two stretti quotations of the theme (bars 32–35) give us the relationship 8×2 = 16, as the theme here is eight beats long. It is not difficult to see that the addition of 24 and 16 results in the key number 40, which is apparently a reference to the Jewish people’s forty years of wandering in the wilderness before being given the stone tablets with the Decalogue.
The theme has a most interesting structure. It consists of two parts: the main melody of the chorale emerging from a repeated ostinato note and its leaps (six beats), and stepwise motifs over a fifth (four beats). (Example 8) Christoph Albrecht described the theme figuratively as a musical picture of a “raised warning forefinger.”54 But numerology allows us to find deeper connotation in it. The second part of the theme contains 14 notes (BACH). One could consider this as a mere coincidence, were it not that we meet the melody with this numerical symbol again at other central formative points in this little piece.
This second part of the melody occurs as a theme in its own right in the 41st beat of the fughetta (JSBACH), where it fills out the eleventh bar at the junction between the two expositions. Again, this melody is consistently developed in the 14 bars that separate the two concluding quotations of the theme from the second exposition. And we would finally add that the number 14 is underlined by the sum total of all the beats in this chorale prelude: they all add up to 140.
Without a doubt it would be the very height of negligence for a performer who is looking for an authentic interpretation to ignore the manifold recurrence in the composition of the name of its creator. The composer of the manual version of Dies sind die heil’gen zehn Gebot’ obviously had definite reasons for weaving his name again and again into the musical fabric of the work.
Let us boldly assume that in this work Bach wishes to embody the idea of the divine Commandments as the cornerstone of his own life. The tenfold repeated theme of the chorale Dies sind die heil’gen zehn Gebot’ and the numerical symbol 40 harbor the idea of the Commandments. Their importance for Bach personally is attested to by the composer’s repeated use of the symbol 14.

This article will be continued.

J.S. Bach's Prefatory Message and Implications

Introduction

In an earlier article devoted to Bach's last printed composition, the presumably authentic title was established.1 The conventional reading in all printed editions was Die Kunst der Fuge; however, the correct version would read Die Kunst der Fuga. Amongst other observations, this spelling renders the title's gematrial sum as 158, identical to the result when converting the composer's full name Johann Sebastian Bach. An earlier article indicated numerous allusions to the system "wohltemperirt" within the composition.2 In order to demonstrate here the essential notion of the unitas in baroque music theory,3 in both spellings the title's 15=7+1+7 letters are centered upon the letter T=19--the number of intervals closing the circle in tuning.4 Further to the title, the first printed edition of the composition contains a short preface comprising seven lines, called Nachricht. Thanks to a remarkable booklet of great originality and richness of ideas by Vincent Dequevauviller,5 my attention was drawn to this message. Following my study devoted to the title itself, the purpose of the present article is to scrutinize that message more profoundly and interpret the outcome. Finally, new aspects as to how many bars, ideally, the unfinished fugue would comprise, are presented.

The preface to the first edition, 1751

Die Kunst der Fuga had two early editions in rapid succession, the first one 1751 and the following one already in 1752. These editions carry different messages as preface. The text published with the first edition of Die Kunst der Fuga, is shown in Figure 1 and below.

Nachricht

Der selige Herr Verfasser dieses Werkes wurde durch seine Augenkrankheit und den kurz darauf erfolgten Tod ausserstande gesetzet, die letzte Fuge, wo er sich bey Anbringung des dritten Satzes namentlich zu erkennen giebet, zu Ende zu bringen; man hat dahero die Freunde seiner Muse durch Mittheilung des am Ende beygefuegten vierstimmig ausgearbeiteten Kirchenchorals, den der selige Mann in seiner Blindheit einem seiner Freunde aus dem Stegereif in die Feder dictiret hat, schadlos halten wollen.

Preface

The late author of this work, due to his eye disease and his death occurring shortly afterwards, was rendered incapable to terminate the last fugue wherein he identifies himself by his name upon composing the third section; therefore one wished to compensate the friends of his muse by communicating the church chorale set in four parts and adjoined at the end which the late author, in his blindness, dictated into the pen of a friend in spontaneous improvisation.

As concerns this text, Dequevauviller argues, that--contrary to appearance and expectation--it had been written and prepared in advance by J. S. Bach himself! Thus, one might wonder, what further insight the present considerations could reveal. To report still further, Dequevauviller observed that the Nachricht counts 76 words in total: for the title 1, and 75 words for the remaining body text. As is known, Bach gave a Tri-Unitary representation of the number 75 via 31+13+31 in the bar-wise structure of Duetto II (in bars, 149=37+75+37). The digits 7 and 5 of 75 may be related to the number of fifths in the unequal tuning system "wohltemperirt" of Werckmeister/

Bach.6 Let us now structure these 75 words via the unitas by writing 75=37+1+37 such that the central word upon which the text is pivoted emerges as bringen. Following this word, within this single rather long sentence, Dequevauviller mentions the partition by a semicolon.

Although the Nachricht comprising 76 words is somewhat long and continues via . . . bringen; . . . up to . . . wollen--knowing the baroque traditions, practice and procedures--it is tempting to convert that text into a number via Henk Dieben's alphabet and gematria.7 Summing up to the respective end of the words concerned, yields the result in Figure 2.

Here the gematria-sum of the last 37 words that follow after bringen, up to the final word wollen, amounts to 4466-2323=2143. It is striking that this sum 2143 is by only 5 too large, such as to yield 2138, corresponding number-letter wise to BACH. This "problem" suggests taking a closer look at the text of the Nachricht. Immediately a suspect word shows up, namely Stegereif (meaning a spontaneous improvisation). Certainly, this word, in modern German spelling would read Stegreif without the obtrusive letter E=5 that renders the sum too large by this amount. However, modern German is irrelevant in this historical baroque context and one ought to consult contemporary dictionaries to verify the spelling--or even better, texts of writers close to J. S. Bach. Provided one is familiar with those contemporary texts, one easily finds that Carl Philipp Emanuel Bach, in his treatise8 Versuch / über die wahre Art / das Clavier zu spielen, Volume 2, page 325, chapter 41, writes Stegreif, rather than Stegereif. (See Figure 3.) This succeeds in identifying the misprint of spelling within the Nachricht, first edition of Bach's Kunst der Fuga. The gematria-sum of the last 37 words can thus be corrected from 2143 to 2138, BACH--as expected.

What does this result signify? First of all, J. S. Bach's authorship of the Nachricht--in conformity with Dequevauviller--is corroborated and firmly established. Could it otherwise be imagined, that e. g., Carl Philipp Emanuel Bach--and for what reason--would have constructed that artifice? It is thus the composer's own authentic message. But in addition, one may realize that Bach has encoded here a profound personal theological statement into his last printed work. (See Figure 4.)

The composer, of faltering health, facing his death, shows himself in Christian creed aligned with and belonging to Jesus Christ. The correspondence of the initials J. CHR., 9+3+8+17=37 is "conventional," as shown frequently in several of my own papers and in the book of Harry Hahn as well.9

Dequevauviller presented the following example, Figure 5, in the context of the rupture of the unfinished fugue. In cantata BWV 106, Actus Tragicus, the choir's soprano, at the end of the second movement--final bars upon the words "Ja, komm Herr Jesu, Herr Jesu"--fades away into the last bar of--a pause! Associating with the termination of the second part of the Nachricht by 2138 = BACH with 37 meaning J. CHR., an allusion to rupture of life by death and transfiguration in Christ could be understood.

In this paragraph the firm connection linking the Nachricht to the unfinished fugue will be established. In fact, the study of Bach's message would remain incomplete, if after the count of the words and the application of Henk Dieben's gematria, the number of letters itself were not checked. Thus, the 76 words of the Nachricht, as printed, comprise 427 letters: 9 letters for the title and 418 letters for the body text. As the latter contains the misprint with the superfluous letter E, the length of the text of 75 words can be corrected to 417 letters, factorizing 3x139. On recognizes 1-3-9, the number of the circle of fifths 19, centered numerologically upon the 3 = Trinity. The number 417 depicts in juxtaposition the number of 4 well-tempered fifths, 1 tempering fifth and 7 perfect fifths of the system Werkmeister/ Bach. Converting 4,1,7 into letters yields D, A, G. My earlier article has shown that the first theme of the unfinished fugue is D,A,G,F,G,A,D. This accomplishes the proof of the connection between the unfinished fugue and the Nachricht via the number of 417 letters.

As there can be no longer any doubt about J. S. Bach's authorship of the prefatory message, this proves that according to his intentions, not only the unfinished fugue, but also the final chorale do indeed belong to the composition. Some editions omit the chorale, but future editions may take into account the present result and thus grant Bach--so to speak--the right to the architectonic structure he conceived for this composition and let the form of his last printed work be closed by the chorale.

The unfinished fugue: midpoint and length according to the unitas

The following section investigates the unfinished fugue in more detail, the first theme of which my preceding article in The Diapason (March, 2000, p. 13) associated with "wohltemperirt," as described above. Dequevauviller presents convincing arguments that Bach intentionally and expressly left the fugue unfinished! Musically, the ensuing rupture of flow depicts death dramatically and in a macabre fashion. However, Dequevauviller sees an ambiguity and remains undecided, whether there are 238 complete bars to be terminated by 38 further bars or 239 bars for which 37 bars are lacking. For details, his original paper ought to be consulted. On the contrary, it will now be shown that the rationally admissible viewpoint is that the manuscript of the fugue holds 239 bars terminating at the last bar-line Bach put there. (See Figure 6.) There are 37 bars missing.

From bar 238 to bar 239, the bass descends by a fifth A-D. In numbers, as A=1, D=4; there follows 14=BACH in juxtaposition. Why should this "signature" within these two bars of the autograph be truncated and discarded by assuming only 238 bars? As concerns this signature AD=14, see also the 8th and 9th keystroke of Fugue N° 1, C-major, Das Wohltemperirte Clavier 1. 10 Furthermore, in bar 239 itself, following the quarter note D of the bass, Bach's manuscript notates a single eighth-note of the tenor upon A, into the system of the bass. Juxtaposing again within bass-system, there now holds DA=41=J. S. BACH, representing a further and ultimate signature in bar 239 at the termination of the unfinished fugue. Its manuscript--contrary to the printed version--is written into the two systems of soprano and bass-key. Had the tenor been written, as in the edition, into its system of the tenor-key, such a signature would not have been feasible. It is incoherent to recognize on the one hand via the digits of the partition 239=1+238 the letters of 2138=BACH and on the other hand, assume the factual last bar of the fugue were 238. There is no way out: the fugue, as it exists, logically extends over 239 bars; the completed one totaled 239+37=276 bars. It may be worth noting, and must have been known to Bach, that the number 239 also corresponds to Vom Himmel hoch da komm' ich her.

How can the ideal extension of 276 bars for the fugue be made plausible, or corroborated? For this purpose, let us now evoke the principle of the baroque unitas with this even number. Thus, 276=138+138, showing that the complete ideal fugue would be pivoted upon the two central bars 138 and 139. (See Figure 7.)

Incidentally, upon separating the two syllables of NACH-RICHT (13,1,3,8-17,9,3,8,19), its first half terminates letter-numberwise as (13)138, but this observation is numerology and means nothing in itself; nor, that the letters, except the last one of the second syllable, yield 37. These midpoint-bars, at first sight, appear somewhat inconspicuous. Nevertheless, four characteristic and pertinent features will be identified therein. The literally exact midpoint (bar-wise) of the completed fugue clearly would be the bar line between 138 and 139.

* Regarding the voice of the alto, the bar-line 138/139 separates the note C from the note A: Henk Dieben's number alphabet yields C=3 - Trinity, and A=1--Unity. Hence, the completed fugue of 276 bars appears to be appropriately centered upon the Tri-Unity. This is as well the basis and principle for the tuning "wohltemperirt." At this point, a correlation with the 75 words of the Nachricht emerges. The representation 75=37+1+37 showed the midpoint, the word bringen, pivoted itself upon the letter N. (See the appendix for the details of the relation with tuning.) The letter N converts to 13--the juxtaposition unitas-trinitas. The Tri-Unity can be represented by a single letter N=13--but not its form 31. In the alto voice, flanking this bar-line, the notes C, A transform to 3, 1. Incidentally, that alto voice reminds us that J. S. Bach is told to have played himself in the orchestra the part of the viol.

*In the first central bar, 138, the two lower voices of bass and tenor attack 7 and 5 notes, respectively. These numbers correlate with the tuning system Werckmeister/Bach. It comprises 7 perfect fifths and 5 fifths "wohltemperirt." The Nachricht counts 75 words plus its heading.

*In the second central bar, 139, the tenor attacks 5 notes, and the alto 3. The system Werckmeister/Bach derives from the triad of C-major--center of tonality--wherein third and fifth beat in unison. In thoroughbass, these numbers 5 and 3 represent the intervals of fifth and third.

*The last manifestation of the central pivot point is perhaps the most esoteric, profound and comprehensive one. Going from bar 138 to the onset of bar 139, the tenor holds a suspension on E, whereas the bass, figure of a catabasis, falls into the F. This reminds about "Fa mi et mi fa est tota musica,"11 Bach set to his Canon BWV 1078. Here, at the partition point via the unitas of his "last fugue," Bach addresses, what represents for him "the totality of music"! Unfortunately, the utilization of this suspension, in particular at central points (unitas) has not yet been systematically investigated within Bach's compositions, such as cantatas as well. A different most characteristic setting, simply the sequence of the notes F-E within a descending scale, occurs at the exact center of the Four Duets,12 wherein Bach had musically and mathematically specified the tuning "wohltemperirt."

At this stage, of course, one might start searching across the unfinished fugue, to find further passages where the four aspects above occur simultaneously. Or else, define different criteria for midpoint-characteristics and check whether there are possibly other candidate-midpoints under such criteria. At about twice the bar number of such places identified, the completed fugue would terminate. However, I have not yet succeeded in finding any different midpoint more convincing and significant than the one indicated within the existing part of the unfinished fugue, bars 138/139.

For completing the fugue it is thus confirmed that 37 bars are missing, related to the number of the 37 final words of the Nachricht, that succeed the semicolon. The ideal length of the complete fugue amounts to 276 bars--in agreement with the outcome of Dequevauviller's ingenious intuition and despite his ambiguous reasoning.

The autograph manuscript terminates with: "NB Ueber dieser Fuge, wo der Nahme// BACH im Contrasubject// angebracht worden, ist// der Verfasser gestorben" (Upon this fugue, where the name BACH is applied in the contrasubject, the author passed away). Whilst keeping in mind the 37 final words of the Nachricht, together with the 37 missing bars of the fugue, this sentence converts via Henk Dieben's alphabet to 867, factorizing 17x3x17. On the way to this total, when summing the text across its word BACH, up to and including the letter C--center of tonality--the intermediary result becomes 266 = Das Wohltemperirte Clavier. Alternatively, according to the triangular alphabet, the factors of the total are 6657=3x7x317. Herein, 317 may be seen as 37=J. CHR., centered upon 1=unitas.

Conclusion

Having established the corrected sum 2138 via the number alphabet for BACH in the second part of the Nachricht now proves beyond doubt that the composer himself was its author. As a consequence, that message--as concerns the contents and extension of the composition--can be trusted and taken literally. Thus, the unfinished fugue does, of course, belong to the composition and the complete work terminates with the chorale. The parallelism between the 37 words of the message's last part (37=J. CHR.) and 2138 meaning BACH, can be interpreted as a profound theological statement within his last printed work--did Bach take the last 37 bars with him when rejoining Jesus Christ? Finally, again numerous allusions or references to the tuning system Werckmeister/Bach could be identified within Die Kunst der Fuga.

For its second edition, Marpurg replaced Bach's authentic Nachricht by a "Vorbericht." The latter, although not without praise, admiration and meritorious commercial and sales intentions, can be dismissed as gibberish if compared to the significance of the composer's own message: Bach's work and concepts cannot easily be improved upon! Fortunately enough, the first printed edition has survived.

Epilogue and outlook

Contemplating this article on Die Kunst der Fuga, I realize and admit that I am myself most and principally interested in the psychology--the obvious one and the one implied--of this personality of a composer/mathematician. It is hoped that by presenting paradigmatically these results, the psychological approach apt for studying musico-mathematical baroque mentality, not only Bach, but e. g., Werckmeister and Zelenka as well, is initiated. And thus, that the official and institutionalized European Bach-research can be relieved from its present deadlock.

Appendix

Applying the gematria between the semicolon at the midpoint of Nachricht to its end yielded 2138. The body text of Bach's message counts 417 letters. These digits specify the three types of fifths in the system. Therefore it is tempting to apply gematria from the onset of the 75 words--excluding the title--and check the sum up to and including the central tri-unitary letter N=13 of BRINGEN. The result is 2217. Rearranging digits will make identification obvious: 1722. This is the year Bach has dated Das Wohltemperirte Clavier, showing 1 tempering-fifth (B-F#), 7 perfect fifths and two pairs of fifths wohltemperirt (C-G, G-D and D-A, A-E). As to the factorization, 2217=3x739. Obviously, 3 means the Trinity, and writing the other factor as 7-3-9, centers 79 upon the Trinity; whereas Johann Sebastian Bach corresponds to 158, its half is 79; a representation investigated already a long time ago.13 It is worthwhile to stress that BRINGEN has at is center the letter N and this was the word at half the length of the message.

Finally, the word BRINGEN itself, at the midpoint of the Nachricht, has several remarkable properties that can best ited in form of a table. (See Figure 8.)

The seven letters of BRINGEN, according to 3+1+3=7, are centered upon the Tri-Unity, N=13, the juxtaposition of unitas-trinitas, the basis of the system wohltemperirt. The sum of the first three letters, BRI, yields 28, secundus numerus perfectus. Such numbers are made up by the sum of its parts, 1+2+4+7+14=28. Or else, 6=1+2+3, primus numerus perfectus. Werckmeister, in his treatises, quotes perfect numbers up to 33550336(!). Looking now at 28 and at the midpoint 13, permits the numerological contraction and juxtaposition to 2813, a permutation of BACH = 2138.

The group of letters GEN, 7,5,13, obviously can encode the 7 perfect fifths together with the 5 well-tempered ones by a procedure14 I have called "appearance method." Otherwise, the final letters EN, appearing as 5-13, show 53 centered upon the 1 = unitas. This may be associated with 5 = fifth in thoroughbass and 3 = third. In the C-major triad of the system Werckmeister/Bach, third and fifth beat at the unison. In analogy, similar to the exercise of this appendix, the title-word NACHRICHT itself may undergo further numerological interpretation, but this is left to the reader.n

Notes

                  *               In commemoration of the 250th anniversary of J. S. Bach's death on 28 July 1750.

                  1.              Kellner, Herbert Anton, "Johann Sebastian Bach and Die Kunst der Fuga." The Diapason, March, 2000, p. 13.

                  2.              Kellner, H. A., "How Bach encoded his name into Die Kunst der Fuge together with his tuning."     The Diapason, May, 1999, 14-15.

                  3.              Dammann, Rolf, Der Musikbegriff im Deutschen Barock Laaber 31995.

                  4.              Kellner, H. A., The Tuning of my Harpsichord. Schriftenreihe 18. Verlag Das Musikinstrument, E. Bochinsky, Frankfurt/Main 1980.

                  5.              Dequevauviller, Vincent, L'art de la fugue, un "problème algébrique." ISBN 2-9513089-0-6. Association pour la connaissance de la Musique Ancienne, 75005 Paris, 10, rue Guy de la Brosse. 1998.

                  6.              Kellner, H. A., "A Mathematical Approach Reconstituting J.S. Bach's Keyboard-Temperament." BACH, The Journal of the Riemenschneider Bach Institute, Berea, Ohio. Editor Melvin Unger. Vol. 30/1, Spring-Summer 1999, 1-10

                  7.              Kellner, H. A., "Le tempérament inégal de Werckmeister/Bach et l'alphabet numérique de Henk Dieben." Revue de Musicologie Vol. 80/2, 1994, 283-298.

                  8.              Bach, Carl Philipp Emanuel, Versuch über die wahre Art, das Clavier zu spielen. First edition I/II 1753/1762; Facsimile, Ed. Lothar Hoffmann-Erbrecht 1958, 71986.

                  9.              Hahn, Harry, Symbol und Glaube im 1. Teil des Wohltemperierten Klaviers von J. S. Bach.  Wiesbaden 1973.

                  10.           Kellner, H. A., "Review of Musique et Tempérament by Pierre-Yves Asselin." Revue de Musicologie Vol. 72/2, 1986, 294-296.

                  11.           Duparcq, Jean-Jacques, personal communication, drawing my attention to this canon's text, and that the number alphabet converts "est tota musica" to 158--as well as Johann Sebastian Bach, equal to the value for Die Kunst der Fuga.

                  12.           Kellner, H. A., Barocke Akustik und Numerologie in den Vier Duetten: Bachs "Musicalische Temperatur." In "Bericht über den Internationalen Musikwissenschaftlichen Kongreß Stuttgart 1985," Ed. Dietrich Berke and Dorothea Hanemann, Kassel 1987, p. 439-449, as well as Kellner, H. A.: "How Bach quantified his well-tempered tuning within the Four Duets." English Harpsichord Magazine, Vol. 4, No. 2, 1986(87), 21-27.

                  13.           Kellner, H. A., "Das wohltemperirte Clavier" --Implications de l'accord inégal pour l'œvre et son

autographe. Revue de Musicologie Vol. 71, 1985, 143-157.

                  14.           Kellner, H. A., "One typographical enigma in Werckmeister, Musicalische Temperatur." English

Harpsichord Magazine, Vol. 3, No. 8, 1985, 146-151; in particular p. 148.

Johannes Brahms, who died 100 years ago on April 3, 1897, composed the final installment of his musical legacy--the Eleven Chorale Preludes, Opus 122 --during the last year of his life. They were written during his summer holiday at Ischl, where Brahms had vacationed annually from 1889. But his final visit was clouded by Clara Schumann's recent death and his own illness, cancer of the liver, which had taken his father twenty-five years earlier and the symptoms of which he likely would have recognized.1

When considering Op. 122, it is valid to ask: "Are these works all that special?"--because no composer created an endless string of pearls. Indeed, Peter Williams revealed his reservations in a review in The Organ Quarterly:

[While] the stature of the man makes all his works interesting in some way or another, there is something depressing about this music.  I do not mean merely the death-centered theme of Op. 122 but the general tenor of the musical idioms found here, the kind of organ sound most suitable for them and the weird absence--considering who their composer was--of melodic flare or that dramatic sense of sonority and rhythmic impetus we know from the composer's symphonies.2

As these works are chorale preludes, Mr. Williams' mention of "melodic flare" is peculiar. And his comparison to the "sonority and rhythmic impetus" of Brahms' symphonies is irrelevant, as these are clearly miniatures, each wonderful and satisfying when played in an empathetic manner. But it is perhaps unfortunate that the complete organ works of Johannes Brahms--his four early works dating from 1856-7 and the "Eleven"--fit so conveniently on one CD, for they are becoming the most frequently recorded set of organ works, second only to Boëllmann's ubiquitous Suite Gothique. Unlike the latter, however, Brahms' "Eleven" are a collection rather then a suite, and their effectiveness is diminished when heard all at one sitting. I feel they have far more impact and are more enjoyable inserted one or two at a time into an eclectic program.

Clearly, what can be a small masterpiece in the hands of one can be tedious in the hands of another--and even more so for Op. 122.  For with these works, Brahms has hidden eleven treasures inside a maze. In this essay, we will examine the "Eleven" and discuss ways to make these treasures come alive.

Form of the Chorales

To begin, see Table 1 for a survey of the forms Johannes Brahms used in Op. 122.  In addition to simple harmonized treatments, Brahms embellished some chorales into aria form, extended some with interludes, or used each phrase as a motif for the accompanying parts (Pachelbel style), or surrendered to a free fantasy form in which the original melody is almost totally lost.3

One can see from Table 1 that half are on Passiontide or requiem themes.  But only number 10, based on the "passion" chorale, expresses the depths of the emotions implied by the text: "My heart is ever yearning for blessed death's release." Of those based on other themes, numbers 5 through 8 are warm, lovely and contemplative and number 4 is an outburst of joy. Even O Welt, ich muss dich lassen, the last of the "Eleven" and Brahms' final composition, is a gentle farewell to life. E. Power Biggs summed up these works very well in the Preface to his edition of Op. 122:

Composed in memory of his dearest and most faithful friend, Clara Schumann, at the same time the Preludes are a revealing document of Brahms' thoughts on his own life. One biographer, Niemann, points out that most of the Preludes are: "A retrospect and an epilogue, a salutation to youth and its ideals, and a farewell to this world which is, after all, so fair." Somber as many of the Preludes are, they yet have a warm, autumnal quality that is all Brahms' own.4

Baroque or Romantic?

Since the "Eleven" are cast in the traditional German form of chorale preludes, and since Brahms had applied himself diligently to the rediscovery of early music, in particular Bach with whose music he was quite conversant,5 there is the question of whether the interpretation should reflect performance practice of the late 19th century or early 18th century. The great body of Brahms' compositions show that he was a thoroughly Romantic composer of great power. His Classical inclinations, however, restrained him from some of the delicious excesses of, say, a Tchaikovsky. Brahms' "Eleven" require the performance practice of Brahms' age, not the Baroque. When Villa-Lobos' Bachianas Brasileiras, or Dupré's "Chorale in the Style of J. S. Bach" (Fifteen Antiphons), or Franck's Three Chorales are performed--all of which took their inspiration from Bach --the interpretive style should be that of the composer's age, not the 18th century.  So also with the "Eleven." Robert Schuneman makes a key point when he says:

One should not be deceived by the brevity of the chorale preludes, nor with an initial reaction to the printed page which makes them look like chamber music. Their religious nature, the sacredness, otherworldliness, the transcendental quality--all of this is expressed by Brahms (as in other Romantic music) with grandeur, monumentality, and weightiness in terms of organ sound in acoustic space.6

An initial look at the printed page has misled many an organist to think that the "Eleven" are as easy to play as they are short, but Brahms sophisticated writing often seems to jig where the hand wants to jog. Simply learning the notes is the organist's first task.  But it is remarkable how many organists confide that these works are often poorly played even if the notes are correct.  Indeed, Schuneman decried " . . . the stiff, unyielding, ungraceful and ragged performances which are so often heard . . . "7

A Romantic Framework

For idiomatic interpretations of Brahms' "Eleven," it helps to consider them within the context of the 19th century. Born in 1886 in Belgium, the renowned organ virtuoso Charles M. Courboin provides a link with that sensibility. His pupil, Richard Purvis, discusses Courboin's approach:

Courboin always returned to three elemental principles in the consideration of any piece. First, one had to consider the architecture of the work; second was texture; third was emotional content. The architecture was most important. "Where are the high points," he would ask, "and how are you going to do them justice? Where are the transitional points, at which you leave one mood and go to another?"

If the architecture defined the parameters of the piece, the texture was the actual landscape for which Courboin often used visual imagery as might describe an oil painting, an etching or a watercolor.  At other times he would discuss texture in more strictly musical terms: was it contrapuntal, harmonic, a combination of the two?  And what tools were you going to use to emphasize the texture rather than obscure it.  Once you had the architecture and had done justice to the texture, you could then afford to explore the fine points of the emotions you were trying to communicate.  Courboin constantly asked, "What emotions does the piece involve, conjure up, portray?"8

The Brahms Organ

Brahms did play the organ to some degree in the 1850s when he wrote the four early compositions. But as he was never a professional organist associated with a specific organ, there has been an active debate over the years concerning the ideal Brahms organ sound. For example, registrations recommended by Walter E. Buszin and Paul G. Bunjes reveal their ideal Brahms organ to be a Baroque affair on which one should draw no more than one 8' stop per division.9 The result is far from weight, grandeur and monumentality.

A key year in this discussion is 1833, the year of Brahms' birth and the year in which E. F. Walcker completed his first major achievement, a 3-manual, 74-voice trendsetter for the Paulskirche in Frankfurt.10 The Oberwerk had five 8' flues and the Schwellwerk had six. The structure of the 23-voice Hauptwerk was as follows: 32,16,16,16,8,8,8,8,51/3, 4,4,4,31/5,22/3,2,2,13/5,1,V,IV,V,16,8. Walcker built hundreds of organs based on similar principles throughout the 19th century, including a 3-manual, 61-voice instrument built in 1878 for the Votivkirch in Vienna,11 an organ which was certainly known to Brahms as he had settled permanently in Vienna in 1868.  The Oberwerk of the Votivkirch organ had four 8' flues and the Schwellwerk five. The structure of the 23-voice Hauptwerk is: 16,16,8,8,8,8,8,8,8,51/3, 31/5,4,4,4,22/3,2,2,VI,III,V,16,8,4.12 Franz Ebner, who recorded the "Eleven" on this organ, stated:

The instrument on which Brahms' art can most suitably be realized is not the Baroque organ but that type in which the endeavors of the 19th century to attain a full, warm, immediately arresting tone found fulfillment.13

However, a "Brahms organ" does not have to be huge or even large.  As Max Miller pointed out in his article, "The Brahms Chorale Preludes--Master Lesson," the small instruments in every organ culture aspire to the effects of large instruments and thus clearly indicate the idealized sound of the time.14 He offers this 1869 German stoplist in which 60% of the manual voices are of 8' pitch:

Hauptwerk: 16,8,8,8,4,III

Oberwerk: 8,8,8,4

Pedal: 16,16,8.

For a fuller discussion of organ design in 19th century Germany, see Robert Parkins' series of articles in The Diapason: "Rediscovering the German Romantic Organ" (January, February and March, 1989).

Registrations

Robert Schuneman devoted a full page of his Brahms article to excerpts from Hugo Riemann's Catechism of the Organ, which gives an insight into German organ playing from the period 1845 to 1895. This is most valuable reading for those who play Brahms. One of the key concepts is horizontal registrations.  That is, one first combines a succession of 8' stops--from the softest to the Diapason--to create a bed of unison sound to which one adds the Octave, the 16', the 22/3' Quinte, the reed, the 2' and the Mixture in that order. The manuals are coupled to achieve fuller effects, and "gap" registrations like 8'+2' are to be avoided unless the composer has specified it.15

In "Some Thoughts on the Sound of the Organ," John David Peterson offers valuable insights into the ideal Brahms "sound":

Brahms' orchestrations call for a rich blend of dark colors. His favored instruments were the horn, viola, violoncello and clarinet, and his piano works challenge the player to call forth half- and counter-melodies from the tenor register of thick textures. It is not surprising that his organ works share the same sense of musical color.16

The key word which sums up registrations for Op. 122 is "warmth." Thus it is surprising that Robert Schuneman would have said: "Strings, as we know them today [1972], and especially celestes, are not appropriate."17 German 19th century stoplists had many a Gemshorn, Salizional, Fugara and Viola da Gamba and the celesting stops Unda Maris and Voix Celeste were to be found.  If these sounds were part of the organ culture of Brahms' time, and if one of his favorite orchestral effects was massed cellos and violas, what better way can there be to realize Op. 122 than by including strings in the registrations? The quieter chorales--Nos. 5, 6, 8 and 11--are excellent candidates for a celeste. If one has a broad Violoncello Celeste, it might be just the thing for the pedal cantus in No. 10. And how better to let the final notes of No. 11 O Welt, ich muss dich lassen float up into heaven than with a quiet celeste?

Brahms' Markings

While Brahms didn't indicate registrations, he left dynamic indications which, coupled with the precepts in Riemann's Catechism, may well amount to the same thing (see Table 2).

The dynamic markings and performance indications would seem to be clear enough, with the possible exception of "dolce." In Dynamics in the Music of Johannes Brahms, Imogen Fellinger says that dolce implies a weakening of the given preceding dynamic strength, just as expressivo is an intensification of the predominant dynamic strength.18 This may well be so where the dynamic marking is forte. Thus "forte ma dolce" in numbers 1, 3, and 11 would translate "loud but sweetly" or "loud but not strident." However, it seems a bit of a stretch to say that "dolce" in numbers 5 and 8 actually implies a dynamic slightly softer than the indicated "piano." It probably calls for a "sweet" or "gentle" interpretation and has nothing to do with dynamics. In support of this, note that only numbers 2, 7, 9 and 10 are without the "dolce." What is different about them from the rest? Both 2 and 9 are sturdy and forthright (the latter remarkably so), number 7 is a combination of urgency and melancholy, and number 10 is characterized by great pathos.

Tempo

In preparing this article, I studied fourteen organ recordings of Op. 122 and two of the Busoni piano transcriptions of Nos. 4-5 and 8-11. The range of tempi is remarkable. The slowest interpretations of the complete "Eleven" take 42 minutes whereas the fastest last but 21 minutes--half as long, or twice as fast.  The median19 duration was 321/2 minutes. See Table 3.

It is easier and clearer to discuss the tempos of these works, which as Romantic works are subject to considerable rubato, using the duration of the piece rather than metronome indications. The player who wishes to play Brahms musically would be well advised to avoid the extremes of tempo. Speeding through these works with the fastest tempos renders them meaningless and trite, but performances with the slowest tempos lacked energy and were often boring and stultifying. I found it of passing personal interest that the tempos at which I play these pieces are, in most cases, pretty close to the median. These median durations would seem to be a good starting place for those attempting to discover the ideal tempos.

Rubato

In his essay, "Playing Around With Tempo," Robert Schuneman describes tempo rubato:

Most music is mechanical without it in some form. On the other hand, the same music may turn into a caricature of its own intent and content with too much of it poorly applied. It is the most difficult of all musical terms to describe in words, and it takes an extremely sensitive player to use it well.20

As rubato is so difficult to describe in words, I would recommend Arthur Rubenstein's renditions of the Chopin Nocturnes as a most exquisite example of rubato in 19th century music.21

One might divide music into two types: objective and subjective. With objective music, of which Brahms' early a-minor and g-minor Prelude and Fugue are two good examples, if you play all the notes in a reasonably steady tempo, you achieve 80% of the composer's intent.  With subjective music, of which the "Eleven" are an excellent example, if you simply play all the notes in a reasonably steady tempo you realize absolutely none of the musical content the composer put into the work. The worst performances (with the notes played correctly) one will ever hear of Op. 122 are those in which, to paraphrase the popular song, "the beat goes on."

Schuneman makes an excellent point which is quite relevant to Op.122:

With the emergence after 1830 of free forms, program music, salon music, and the seeking out of emotional content over form, declamatory expression (free tempo rubato) became much more indispensable to good performance.  Furthermore, as the 19th  century progressed, tempo rubato became increasingly tied to dynamics. Accelerando means crescendo and vice-versa; ritardando means diminuendo and vice-versa.22

The most important performance points here are that in Op. 122, the beat itself is modified, which is a considerably further modification of tempo than the 18th century notion of rubato, where the melody in the right hand was subject to rubato but the beat in the left hand was not.23

Chorale No. 5, Schmücke dich, provides a clear illustration of the above points. Consider Figure 1, which is a harmonization of the chorale, as it would be sung. The added crescendo and decrescendo markings--not to be overdone, of course--simply indicate what any good choir would do intuitively. This music, all music, for that matter, is meant to be performed expressively. So apply this dynamic pattern to Brahms' realization of the chorale in Figure 2 (expression marks added to the Henle edition). If played on the Swell 8' flues, subtle opening and closing of the swell box is no problem. Per the above discussion of rubato, a subtle accelerando would accompany the crescendo and a ritardando comes with the diminuendo. One might alternatively describe this as a slight increase and decrease in intensity. Then there is the syncopated rhythmic pattern in the left hand which Brahms notated as shown in Figure 3, the way George Bozarth would have preferred to notate it in the Henle edition.24 Then there are the delicious dissonances, Brahms beloved major seconds, which Samuel Swartz always said "Brahms put there to linger over." And finally, there are the notes here and there to which, in expressive playing, one gives agogic accents. Integrate all of this into a performance and one has a small masterpiece. Play it straight on through ignoring these factors, on the other hand, and one has a very trite rendition.

Another excellent example of the necessity for rubato is in Chorale No, 11, O Welt, ich muss dich lassen. The structure of the work has a forte section followed by a piano section followed by a pianissimo section--which is repeated six times. Whether Brahms is simply using a series of echos or is referring to the vigor of youth, the mellowness of middle age and the weakness of old age we cannot know. But all of the pianissimo sections need to end with a ritard and a pronounced pause before beginning the next forte section. It is truly amazing that many play this work as if a metronome were clicking inside their heads, rushing past the pianissimo to get at that forte just in the nick of time. See Figure 4 for the interpretation marks I would suggest, and heed Max Miller's advice:

The variables of building and organ will dictate how much time is to be allowed and how freely the echoes should be taken. The non-harmonic tones require spaciousness and breadth in performance.  Time, for Brahms, has with this last composition ceased its hurry and its very meaning.25

Yet another reason for rubato is to give meaning to one of Brahms' favorite rhetorical gestures, the sigh motiv.  Consider the first four bars of O Gott, du frommer Gott (Figure 5), where the sigh motives are indicated by a bracket.  They are descending in mm. 2-3 and inverted in mm. 4-5.  Played in a metronomical tempo, these gestures are as musical as the regular clicks and whirs of factory machinery.  Played with a slight relaxation of tempo, they define the essence of Op. 122.

Indicated Phrasing

In addition to the dynamic and tempo markings, Brahms indicates a wealth of phrasing. Consider the first four bars of No. 1 in Figure 6. Brahms clearly and deliberately sets out a phrasing pattern which leaves little doubt of his intentions. In No. 3, however, there may be some question about the two-note slurs (see Figure 7). Some organists misinterpret these slurs as phrasing marks, and play the two eighth note figures as an eighth and a sixteenth, with a sixteenth rest before the next group begins. This misguided approach gives a jerky, frenetic sound which is the antithesis of the feeling of the chorale, O Welt, ich muss dich lassen. What Brahms meant by these markings was to give a slight stress to the first note of the groupings of two eighth notes. If strings played this piece, there would be the slightest, almost infinitesimal, pause in the sound as the bows changed direction between the eighth-note groupings. And this is precisely how it should be played on the organ.

It is in the very pianistic No. 4 that the precision markings in the Urtext Henle edition clearly communicate Brahms' intentions--markings which are changed or omitted in some other editions. See Figure 8 for the first four bars of No. 4. The quarter notes in the alto voice form a melody in which some notes are held longer than the precise note values, as indicated by the secondary slurs. In bars 1 and 3 the notes marked A are held for two beats,26 in bar 2 the note marked B is held for five beats, and in bar three the note marked C is held for three beats. This is consistent with 19th  century piano practice.

Leslie Spelman, who has spent a good bit of his extraordinarily long career promoting the "Eleven" in both recital and masterclass, sees a parallel to the above technique in No. 10 (see Figure 9). The notes with the horizontal bars added above them form a melody, and Dr. Spelman suggests holding them beyond their indicated value. The notes with the added slurs are to be held even longer. All the while, observing Brahms' molto legato indication and keeping the pulse nicely articulated in the bass.27 This exquisite chorale is also very pianistic and, in fact, is marvelously realized on the piano with a cello playing the cantus. Organists have been ending this piece with an a minor chord for nearly a century, and the A Major ending in the new editions--correcting an error in reading Brahms' autograph by the original editor Mandyczewski--sounds very strange to ears accustomed to the minor ending. But Henle edition editor George Bozarth points out that all of the minor-key preludes in the "Eleven" do, in fact, end with a Picardy third.28 A pronounced ritard in the penultimate measure and a generous observance of Brahms' indicated Adagio in the final bar does "set up" the A Major chord.

Soloing Out Melodies

In several of the Chorales, Brahms allows a clearly discernible melody in the soprano to move moments later to an inner voice where it can be obscured by the accompaniment above it. For example, this happens in measures 5-6 and 14-16 of Es ist ein Ros' entsprungen and measures 28-31 and 38-41 of O Gott, du frommer Gott. There are two schools of thought on this challenge.  Vernon Gotwals feels it is wrong to solo out melodies because this:

. . . shows an unawareness of the abstract nature of Brahms' conception.  It is wrong to emphasize any voice in the manner of the piano in these organ pieces, as Brahms knew that the melody would be lost when it dipped into the tenor in No. 7 or climbed from tenor to alto in No. 8. His subtle conception is destroyed by those who cannot forebear going beyond his precise registrational directions simply because it is physically possible to do so.29

Of course, this implies that in Op. 122 Brahms' conception was a total departure from almost everything he had written before. In his previous compositions, the pianists, instrumentalists and vocalists were able to emphasize and bring out musical lines in a way most suitable for the performance. I find it very unlikely that Brahms would prohibit emphasis of these obscured melodic lines--in fact, he probably would find the very question incomprehensible.

There are two ways to treat these lines. One can choose "solo" stops of exactly the same character as the accompaniment so that the principal difference between solo and accompaniment is volume, or one can choose a contrasting tone color. The former approach is probably more characteristic, although I must confess that the temptation to solo the tenor portions of Es ist ein Ros' on a Clarinet is very strong. The Clarinet was one of Brahms' favorite instruments, and if one has a nice one it may serve quite well. One doesn't have to play these works exactly the same way each and every time. The tenor melody in Es ist ein Ros' can be played on the pedals as suggested in the Biggs' edition (see Figure 10). But an alternative solution, which Leslie Spelman learned from Joseph Bonnet, is to play both the bass and tenor on the pedals starting on the third beat of m. 5, leaving the left hand free to solo the melody (see Figure 11).30

O Gott, du frommer Gott is one of the longest and most graceful of the chorales. One can very easily play the cantus on the Pedal 4' Chorale Bass. Draw 8' stops (at least the 8' Diapason and flute) on both the Great and Swell and couple them. Thus in the forte sections played on the Great, the Swell box can give an arch to the line. And in the piano sections played on the Swell, the box allows expression and perfect balance whether the solo soars out above or is buried within the accompaniment. The timbre of the Chorale Bass would be quite similar to the Diapason and flute of the Swell, with just a boost to the volume (see Figure 12). For emphasis one can add the Swell 4' Octave in measures 22-26, 50-54 and during the final five bars, but there is no indication that the forte section with which the work concludes should be significantly louder than the forte section with which it begins.

Repeated Notes

In the slower of Brahms' chorales, repeated notes in the soprano and bass should always be articulated, but there are some decisions to make about the inner voices. No. 11 O Welt, ich muss dich lassen is an excellent case in point. Though instances occur throughout the piece, the final three bars with their implied molto ritardando are critical. One might very well separate all the repeated notes in a room with five seconds reverberation. But see Figure 13 for a suggestion of adding ties on the inner voices to have the feeling of repetition without choppiness. This is not to say that Brahms should "ooze." In mm. 24-25 of the same chorale are two instances where added phrasing marks in the left hand and pedal can help set up the ending (see Figure 14).

Conclusion

Brahms' Chorale Preludes are very special compositions. As Fenner Douglas once observed, it's too bad for organists that Brahms didn't have a church job for a while, so that we might have more works from this master. I would urge those interested to seek out the cited articles by Bozarth, Gotwals, Miller, Peterson and Schuneman for a broader scope and fuller understanding of the problems and possibilities these works present. Playing these works expressively on the piano is also very helpful, as is experimenting with legato and super legato touch on the organ. Those who unlock the secrets of Op. 122 will not just have gained eleven lovely pieces for their repertoire--they will have learned things of inestimable value which they can apply in countless other works. n

Appendix: Survey of Opus 122 Recordings

The Early Recordings

Of the four late '50s and early '60s recordings, the best are by Robert Noehren and Franz Eibner, but none of them leaves you wishing for a reissue on CD. Dr. Noehren's Brahms (Lyrichord LLST 7123) is well played with sufficient rubato and convincing transitions between sections. But both of the Noehren organs he recorded on were totally unenclosed 2-manual organs with Positiv rather than Swell. The lack of a swell box and absence of registrational variety limited this recording.

Franz Eibner (Teldec SLT 43018-B) had the best organ of the early LPs. The 3-manual, 61-voice Walcker in Vienna's Votivkirche dates from 1878 and was certainly heard by Brahms. The organ's sound--with its rich palette of flutes, strings and principals--is most appropriate to Brahms. Eibner's playing, though consistently a bit stiff, borders on satisfactory, with suitable rubato at times but some awkward transitions. Some chorales, like Schmücke dich, he trots through with no regard to musical subtleties.

The other two early recordings are very disappointing. Karl Richter's recording on the Steinmeyer in the Herkules-Saal in München (Deutsche Grammophon 138906 SLPM) features a most unattractive organ sound. His registrations overemphasize screechy upperwork and de-emphasize the fundamental, sometimes creating a "music box" effect. Richter's playing is completely insensitive to the music, charging right through Opus 122 from start to finish.

Kurt Rapf's recording on the organ of Vienna's Ursulinenklosters is even worse, with an organ sound lacking fundamental but featuring prominent chiff on the manuals and a loud, deep and murky pedal sound. The plenum on No. 11 has searing mixtures, snarly reeds, booming bass and no "middle." Rapf's playing displays the fastest tempos at which these pieces have ever been recorded. All of the notes are there, but none of the music.

The Best of the Modern Recordings

(Note: All the CDs except Arkay include the complete works of Brahms.)

One of the most satisfying recordings to date is by Carole Terry on the 4-manual Flentrop of St. Mark's Cathedral in Seattle (Musical Heritage Society MHS 512523M). Blessed with a rich palette of principals and flutes in a gorgeous acoustic, the organ has a fine sound although the pair of Gemshorns on the Swell are a far cry from real strings. This recording was made before the recent rebuild added a wonderful 32' Posaune to the Pedal and an 8' Trumpet to the Great, plus enabled the 32' Prestant to actually speak. Ms. Terry's playing is simply elegant. She has a real empathy with Brahms and uses rubato and phrasing to create a truly musical result. The two settings of Herzlich tut mich verlangen are the high point of the recording: No. 9 is quite virile on a big registration and No. 10 is the essence of sensitivity.

Another fine recording on LP, unfortunately out of print, is by Bernard Lagacé (Titanic TI-38).  He recorded Opus 122 on the 1977 2-manual 23-voice Wolff organ in New York's Eighth Church of Christ Scientist. The neoclassic design has its limitations for Brahms, but Lagacé uses it fully and well. His playing is inventive, lively and sensitive.  Hopefully this recording will be reissued on CD.

Nicholas Danby made an elegant recording on the organ of the Church of the Immaculate Conception in London (CRD 3404). This 3-manual 44-voice organ is of some historical interest, having been built by Anneesens in 1876, rebuilt by Bishop in 1914, and completely remodeled in 1926 by Henry Willis III to the designs of G. Donald Harrison and Guy Weitz (organist from 1917 to 1967). Its virile plenum (with tierce mixtures), typically English reeds, rich foundations and colorful flutes make for a varied listening experience. Unfortunately, Danby failed to use the two sets of strings, but his playing is imaginative, solid and sensitive. A high point is an attractively up-tempo rendition of Herzlich tut mich erfreuen with well handled transitions between the forte and piano sections, and a sensible (that is to say, slight) volume differential between the sections. All in all, a rewarding experience.

The Interesting Middle Ground

Georges Athanasiadès has made a charming recording on the huge 103-stop Jann organ of 1989 in the lush acoustics of the wildly Baroque Basilica of Waldsassen (Tudor 790). It missed the first tier only because of a severe lapse of taste on the chorale No. 1, where the cantus in the pedal is registered on flue stops plus a set of tubular bells--the effect is ghastly. But in the remaining ten chorales, Athanasiadès proves to be a resourceful player who provides the most tasteful registrational variety of all the recordings. In Herzliebster Jesu and O wie selig he goes to an extraordinary effort to solo out the melody--unnecessary, but interesting and not at all unpleasant. He makes tasteful use of the tremulant on the pedal cantus of the second Herzlich tut mich verlangen and on a splendid rendition of Es ist ein ros'. In the final chorale he exhibits a sensitive balance between the forte, piano and pp sections, with a very attractive string celeste based pp section. Clearly Mr. Athanasiadès has many good ideas and much to offer on this CD.

Jean-Pierre Leguay, one of the four titular organists of Notre Dame in Paris, has made an impressive recording on the monumental 4-manual 1890 Cavaillé-Coll at the Abbey of Saint Ouen in Rouen (Euro Muses 590073 AD 184).  This organ--lavishly equipped with diapasons, a great variety of flutes, several sets of strings and reeds galore--is actually not far from what one might consider an "ideal" Brahms organ. All the stops are colorful, and there is a great amount of variety in the 8' range. The massed unison stops, which are exhibited in Herzliebster Jesu, sing beautifully. For a climactic effect, nothing in the recorded literature of Opus 122 quite matches the final section of the first chorale, where Mr. Leguay adds the 32' Bombarde to an already grand plenum. Some of the chorales, Nos. 4-6 and 11 for example, are given a rather indifferent treatment, but O Gott, du frommer Gott sparkles in a high-energy high-volume treatment with reeds in both the forte and piano sections. A tasteful Es ist ein Ros' alternates a beautiful string celeste with a quiet flute. Opting for contrast and clarity, Mr. Leguay gives the pedal cantus in Herzlich tut mich verlangen to a Trompette. This recording is recommended for generally excellent playing and a quite stupendous sound.

Jacques van Oortmerssen chose the 1906 Setterquist organ of the Kristine Church in Falun, Sweden for his recording of the works of Brahms (BIS-CD-479). This 2-manual 30-stop instrument is based on the French Romantic organs of Cavaillé-Coll, but the sound is a far cry from St. Ouen. There are some lovely individual stops, but the plenum with pedal is murky and a 2' Octava sticks out rather than blending. Oortmerssen's usually elegant playing is uneven, with one chorale singing and soaring and the next plodding quirkily along. He does observe the implied crescendo in O wie selig and builds to a satisfying forte.

Herman Schäffer chose a 4-manual 92-stop 1911 Steinmeyer at the Christuskirche in Mannheim for his Brahms recording (Motette CD 10711). This instrument offers generally attractive sounds and great variety, but Schäffer's playing is uneven. Herzliebster Jesu has no energy and a painfully slow O Welt, ich muss dich lassen (No. 3) falls flat, but these are followed by an energetic and stylish Herzlich tut mich erfreuen.  Schäffer loves contrast, and solos the melody in Schmücke dich on an oboe, the pedal cantus in Herzlich tut mich verlangen (No. 10) on a trumpet, and the melody in O wie selig on a Nazard combination (with the bass played on a heavy and murky 16' pedal). In Es ist ein Ros', Herzlich tut mich verlangen (No. 9) and O Welt, ich muss dich lassen (No. 11) the contrast between the forte and piano sections is far too great. Within these works, however, there are registrations of great beauty, including some luscious string celestes. In sum, the playing and interpretations are uneven and the largely original historic organ is of interest.

Recordings Of Lesser Merit

One might think that recording Brahms on a 1965 4-manual 56-stop Marcussen organ would give a thin, chiffy and uncharacteristic sound (Nimbus NI 882 286-909). On the organ at the Odense Domkirche this is not so, although the upperwork (used only in the first chorale) is too intense. Kevin Bowyer's registrations prove that this instrument can give an appropriate sounds to Opus 122. His playing is another matter, though--tempos seem either to be too fast or too slow. For example, he makes a race out of Herz-lich tut mich erfreuen. But whether the tempo is fast or slow, he doesn't offer much more than the notes. In O Welt, ich muss dich lassen (No. 3) he misinterprets the slurs over the two eighth note groups for a very choppy result. His favorite chorale would seem to be Herzlich tut mich verlangen (No. 10), as he gives a very sensitive performance of it (at 4:38 the slowest of all the recorded performances) with a lush sound and a lovely articulate solo flute with tremulant for the cantus solo. Would that the other ten chorales had had this degree of attention.

Jonathan Dimmock recorded Opus 122 on a 2-manual 26-stop Frobenius at St. Stephen's Episcopal in Belvedere, California (Arkay AR 6113). A visceral involvement with the music seems to be missing, and there are some note problems. Dimmock followed a basically conservative approach to registration, passing on the opportunity for a true forte even for No. 9 Herzlich tut mich verlangen. Although he did make good use of the Gambe Celeste in two chorales, it was an unfortunate choice to solo the melody in O Gott du frommer Gott on the Swell Oboe, because this precluded a significant contrast between the forte and piano sections, a key element of the work.  Whereas O wie selig is satisfying with a nice Oboe combination, No. 11 O Welt, ich muss dich lassen receives a perfunctory performance without the crucial implied ritards between the pp and forte sections.

Robert Parkins recording on the large Flentrop in the Duke University Chapel would seem to have a lot going for it (Naxos 8.550824). A lush acoustic, large organ, talented performer. Large as the Flentrop is, however, is has no expressive divisions and no strings--one wonders how Opus 122 would have fared on the spectacular Aeolian at the front end of Duke Chapel. Parkins gets around this limitation well, however, and the massed 8' tones provide needed warmth. His tempos are the key problem--Nos. 1, 2, 3, 7 and 9 are or are among the slowest tempos on record. The energy of these pieces drains away and you are left wanting to shout "Get on with it!" Balance this criticism with artful performances of No. 4, 6, 10 and an especially sensitive rubato in No. 11. Interesting though flawed, but at a bargain price.

Rudolph Innig's performance of Opus 122 has little to recommend it (Dabringhaus and Grimm MD+GL 3137). The 3-manual Klais organ at St. Dionysius in Rheine is a lightweight neoclassical design with lots of mutations which Innig, unfortunately, uses.  His interpretations feature separated pickups, which are decidedly un-Brahmsian, and a general lack of sensitivity to the music.

Notes

                  1.              Heinz Becker, "Johannes Brahms," The New Grove Dictionary of Music and Musicians, 1980, Vol. 3, p. 161.

                  2.              Peter Williams, Review in The Organ Quarterly.

                  3.              Anonymous essay on "Brahms' 11 Chorale Preludes" on Lyrichord LP (LL 123).

                  4.              E. Power Biggs, Preface, Brahms' Chorale Preludes, Mercury Music Corporation, 1949, p. 2.

                  5.              Becker, op. cit., pp. 173-174.

                  6.              Robert Schuneman, "Brahms and the Organ," Music/The AGO-RCCO Magazine, September, 1972, p. 34.

                  7.              Schuneman, op. cit., p. 34.

                  8.              Jonathan Ambrosino, "Lessons with Dr. Courboin--A Conversation with Richard Purvis," The Erzähler, Volume 4, Number 3, January, 1995, pp. 3-4.

                  9.              Brahms' Complete Organ Works, ed. by Walter E. Buszin and Paul G. Bunjes, Edition Peters.

                  10.           Peter Williams, The European Organ 1450-1850, published by The Organ Literature Foundation, 1967, pp. 94-95.

                  11.           Vernon Gotwals, "Brahms and the Organ," Music/The AGO-RCCO Magazine, April, 1970, p. 42.

                  12.           Günter Lade, Orgeln in Wien, Austria, 1990, p. 184.

                  13.           Franz Ebner, Program Notes to Teldec LP: SLT 43018-B.

                  14.           Max B. Miller, "The Brahms Chorale Preludes Master Lesson," TAO, April, 1979, pp. 43-46.

                  15.           Schuneman, op. cit., pp. 32-33.

                  16.           John David Peterson, "Some Thoughts on the Sound of the Organ," The Diapason, April, 1981, p. 16.

                  17.           Schuneman, op. cit., p. 34.

                  18.           Imogen Fellinger, Uber die Dynamik in der Musik von Johannes Brahms, (Berlin and Wunsiedel: Hesse 1961), p. 20. Translated by and cited in Schuneman, op. cit., p. 34.

                  19.           The "median" is the middle value in a distribution of data--half of the times are shorter and half are longer than the median.

                  20.           Robert A. Schuneman, "Playing Around With Tempo," The Diapason, May, 1970, p. 16.

                 21.           Arthur Rubenstein, The Chopin Nocturnes, RCA 5613-2-RC (two CD set).

                  22.           Schuneman, "Tempo," op. cit., p. 16.

                  23.           Peter Hurford, Making Music on the Organ, Oxford University Press, 1990, p. 67.

                  24.           George S. Bozarth, "Brahms Organ Works: A New Critical Edition," The American Organist, June, 1988, p. 56.

                  25.           Miller, op. cit., p. 46.

                  26.           Less a brief "lift" on the first quarter note in measure one, so it can sound again on beat three.

                  27.           Leslie Spelman, in a February, 1995, masterclass.

                  28.           Bozarth, op. cit., p. 57.

                  29.           Gotwals, op. cit., p. 48.

                  30.           Masterclass, February, 1995.

Permission to reproduce segments from Werke für Orgel granted by G. Henle Verlag.

Other articles of interest:

Franz Liszt and Johann Gottlob Töpfer: A Fruitful Relationship in Weimar

Théodore Dubois and César Franck at Sainte-Clotilde

Brahms Opus 122 in score

Margaret Sandresky is a graduate of Salem Academy and College with a major in organ performance. She earned a master’s degree in composition with a minor in organ at the Eastman School of Music, and later received a Fulbright Grant for the study of organ with Helmut Walcha at the Hochschule für Musik in Frankfurt am Main, Germany. She has held positions at the Oberlin Conservatory of Music, the University of Texas at Austin, the North Carolina School of the Arts, and at Salem College where she is Emeritus Professor of Music. Her articles have been published in The Journal of Music Theory, Music Theory Spectrum, The American Liszt Society Journal, Ars Organi, and The American Organist. Her seven volumes of organ music are published by Wayne Leupold Editions, and her anthems are published by Paraclete Press. In 2004, she received the Distinguished Composer award given at the AGO convention in Los Angeles, and in 2006 was honored by St. Andrews College with the Sam Ragan Award for distinguished service to the Arts in North Carolina.

In the summer of 1829, after an extended journey through the British Isles with his friend Klingemann, the twenty-year-old Felix Mendelssohn Bartholdy completed his trip with a visit in Wales, where he made sketches, now lost, of the piece he intended to present to his “dear little sister,” Fanny, as a special gift for her wedding to William Hensel on October 3.1
Back in London, he met with an accident on September 17, seriously injuring his leg when he was hit by a light horse-drawn vehicle he called a “stupid little gig.”2 On September 25, he wrote his mother that he had “thought of a splendid idea” for Fanny’s wedding piece, but now he wouldn’t be able to present it until after the wedding.3 By November 6, he wrote his father that he had been laid up in bed for five weeks, was just going out for his first drive, and could almost walk without crutches.4
It was during this time that he completed the proposed piece for Fanny’s wedding. Since the final working manuscript is either lost or in private hands, the only available music is a sketch, now in the Bodleian Library. It is written on two staves, the bottom staff mostly blank, the top staff outlining the melody and briefly indicating the harmony.5 This is unmistakably the same material that appears as the opening and closing sections of Mendelssohn’s Sonata III. Many years later, when he was assembling material for the organ sonatas, he inserted between the sections two fugues with the chorale Aus tiefer Noth schrei ich zu dir (“In deep need I cry to thee”) as a cantus firmus.
The outer sections form two strong A-major homophonic pillars surrounding the two inner fugues in A minor, which, by means of their dark chromatics, jagged rhythms and tumbling 16th notes, seem contrastingly very dark and stormy. In each fugue, after the exposition for four voices in the manuals is completed, the chorale melody is introduced in the pedal as a fifth voice.
The second movement that closes the work is a simple song form. The two movements must have been conceived together, since they are dated August 9 and 17, 1844, probably while he was still vacationing in Bad Soden near Frankfurt, where his wife’s family lived. The use of this particular chorale, its stark contrast to the A-major sections, and why it is spread over the two fully developed fugues are questions that are discussed in the following paragraphs.
Mendelssohn was only seven years old when his wealthy and cultivated Jewish parents had their children baptized at the Neue Kirche in Berlin. In these early years, the music and worship of the Lutheran Church must have had a profound influence on him, for his use of Lutheran chorales as well as his interest in the organ and his dazzling performances on that instrument testify to an enduring love for this music throughout his life. By the time he was twelve, he was studying Bach fugues and writing one of his own as shown in the following charming note to his teacher, August Wilhelm Bach.

Berlin, the third day of the lovely month of May, 1821.
What does the sexton say, my dear Herr Bach? Can we play this afternoon? Or is there a wedding? or a confirmation . . . Greetings to the Prelude and Fugue in G Minor. I am presently sweating over an organ fugue, which will come forth into the world within the next few days. My heartfelt greetings to all the principal (sic) pipes, yours faithful (sic),
F. Mendelssohn6

Aus tiefer Noth
Mendelssohn showed an early interest in “Aus tiefer Noth” by composing a cantata on the chorale in 1830, a year after his English journey. Then on his travels in 1831, he must have been particularly interested when he found a copy of the Sebastian Bach organ chorale prelude on the same melody.
He wrote the following to his sister, Fanny, on her birthday, November 14, 1831, from Frankfurt am Main:

Oh my dear little sister and musician . . . I want to give you one of the unbelievingly [sic] moving Seb. Bach organ pieces which I just got to know here . . . Now play this chorale with Beckchen [another sister] . . . and think of me. . . . NB. The chorale is with double pedal.
Bach composed only one chorale prelude with double pedal, so Mendelssohn must be referring to Bach’s setting of “Aus tiefer Noth.”7
The chorale itself, composed by Martin Luther in 1523–4, was the first one for which Luther wrote both words and music. (Example 1) The previous year he had composed his first melody, to the poem “Ein neues Lied wir heben an,” after two young martyrs were immolated in Brussels, Belgium. “Aus tiefer Noth” stems from the same time.8 Luther’s poem is taken from Psalm 130, De Profundis, a psalm of redemption. Since metrical translations in English hymnals, by their very nature, cannot be specific, the following is my literal translation and, though awkward, may be helpful in grasping Luther’s meaning.

Verse I
Aus tiefer Noth schrei ich zu dir,
Herr Gott, erhör mein Rufen.
Dein gnädig Ohren kehr zu mir,
und meiner Bitt sie offen;
denn so du willst das sehen an
was Sünd und Unrecht ist getan,
wer kann, Herr, vor dir bleiben?

In deepest need I cry to thee,
Lord give ear to my cry.
Thy gracious ear incline to me,
And to my plea be open;
Then as you are sure to watch,
What sin and lawlessness is done,
Who can, Lord, stand before you?

Verse V
Ob bei uns ist der Sünden viel,
bei Gott ist viel mehr Gnade;
sein Hand zu helfen hat kein Ziel,
wie gross auch sei der Schade.
Er ist allein der gute Hirt
der Israel erlösen wird
aus seinen Sünden allen.9

Though by us there be many sins,
By God is much more grace.
His hand will help us without fail,
However great the peril.
He is alone the shepherd good,
Who will release Israel
From all her sins.

Bach’s chorale prelude is found in his Clavier Übung Part III in the section of Catechism chorales, and represents the sacrament of confession and forgiveness, known in the Lutheran Church as the Office of the Keys. It is the form for the confession and absolution of sin and derives its name from Matthew 16:19 and John 20:21–23.10
Mendelssohn’s early cantata on “Aus tiefer Noth,” op. 23, no. 1, published in 1832, takes its pattern and style from the cantatas of J. S. Bach. It is in five movements, one movement for each verse of the five verses of text. The first and last verses are set in a simple chorale harmonization, the second and fourth are a fugue and a chorale prelude with introduction, and the middle movement is for three solo voices with chorus and organ. Although “Aus tiefer Noth” is in the Phrygian mode, the cantata is firmly in F minor, and the cadences avoid any trace of the Phrygian in their strong tonality. The contrapuntal writing is a perfect model of 18th-century counterpoint.

The fugues of Sonata III
In the later Sonata III, the Phrygian character of the chorale is retained. (Example 2) Here Mendelssohn presents the chorale in the pedal transposed to A minor, inserting a B-flat before the A at the proper cadence points; and at the close of the second phrase (mm. 46–47), he uses a Phrygian cadence harmonizing the B-flat to A pedal as IV/6 to V in D minor. On the other hand, where this phrase is repeated in the second fugue, the B-flat to A is harmonized in the key of G minor as I/6 to VII/6 (mm. 69–70) and is not at a cadential point in the overall work. However, the final cadence (m. 92) is Phrygian, IV/6 to V/9, and introduces a long pedalpoint leading into the pedal cadenza.
The expositions of the two fugues illustrate two different aspects of Mendelssohn’s fugal writing. (Example 3) In the first fugue, the exposition (m. 24) follows traditional fugal procedure. Scale steps 5–6 at the beginning of the subject are answered by scale steps 1–3 (m. 28). The order of entry is bass, tenor, alto, soprano. After the exposition, the chorale enters in the pedal, overlapping the last measure of the answer. The chorale is split between the two fugues. Phrase one, phrase two, and the repetition of phrase one are presented in the first fugue, and the fugue closes with a half cadence in A minor, composed of a Neapolitan sixth chord going to a dominant ninth followed by a five-measure pedalpoint.
It is worth noting that because Mendelssohn decided to make his two fugue subjects compatible as invertible counterpoint and to bring them together near the end of the second fugue, he designed them both on the same vertical sonority, the V/vii7. (Example 4) Thus it was convenient to divide his cantus firmus between the fugues at a point where the dominant could function in both places, with the result that he did not follow the rhyme scheme of the text or the form of the chorale, which is abab-ccd, but split it after the repetition of the second phrase, aba-bccd. (See Example 2.)
In contrast to the scholarly correctness of the first fugue, Mendelssohn seems to have designed the second one with Romantic fervor, avoiding scholarly constraints and directing the performer to play with gradually more and more animation. The A-minor subject beginning on scale steps 5-6-5 (m. 58) and outlining a dominant/diminished area, tumbles down in 16th notes to C-sharp, throwing it into the subdominant key of D minor by means of this chromaticism. One remembers here that in the old modal system, D really would have been the dominant of the Phrygian on A. These events present two problems for the tonal system, solved traditionally by answering scale steps 5-6-5 with 1-3-2 and by returning the modulating subject to the proper key in the answer. Mendelssohn does neither.
Since the modulating pitch, C-sharp, is the very last note of the tenor subject, whose proper tonal answer, 1-3-2 in the alto, would force a cross relation between the C-sharp and a C-natural, the situation requires deft and imaginative treatment. (See Example 3.) Mendelssohn gives the alto a real answer (m. 60). However, in order to halt the continuous modulation of subject and answer and not stray too far from the main key, he ends his real answer by writing an F-natural instead of F-sharp, thus preparing for the third entry of the subject in the soprano and remaining in D minor. Here, one may be surprised to hear a tonal subject, scale steps 1-3-2 in D minor (m. 62); but the subject, placed now in the highest voice, sounds exciting, overarching, overreaching, and not like a misplaced answer. The fourth entry in the bass (m. 64) is then a real answer to a tonal subject; and this upside down arrangement ending in D minor effectively prepares the two measures of chromatic secondary dominant-seventh chords leading from the exposition to the entrance in the pedal of the fourth phrase of the chorale, where he is heading temporarily for F minor.

The outer sections of Sonata III
Under analysis, the principal thematic material in the opening and closing sections of the sonata seems drawn from the opening phrase of the chorale, whose first interval of a descending perfect fifth from E to A appears, now in the key of A major and filled in stepwise, as the opening gesture of the main theme. (Example 5) This “filled in” fifth dominates Mendelssohn’s thinking here, for it occurs some twenty times during the course of this section. The same pitches also appear in measure two of the second movement. Again, in the first phrase of the chorale, the ascending leap of a fifth moving up a half step to the sixth degree of the scale may be interpreted as the interval of a sixth appearing in several places throughout the sonata. First, it occurs between measures one and two of the opening theme; second, it appears twice at the recapitulation in the pedal from low C-sharp to A and then up to F-sharp. Finally, it appears as the first two pitches of the second movement. The chorale provides one other motive. Compare the scale steps 5-6-5 in the first two measures of the chorale to the subjects of each fugue.
Such an analysis, then, shows that the entire movement, and in a broader sense the entire work, can be viewed as evolving from one theme, that of the chorale, and not from separate ideas. This coincidence presents a conundrum: did Mendelssohn either consciously or unconsciously have the “Aus tiefer Noth” chorale in his head during the closing weeks of his English journey, and turn it into a joyful bridal piece by filling in the melodic skeleton and changing the mode? Then years later, did he decide to expand Fanny’s piece into the Sonata III? This would explain the juxtaposition of seemingly disparate parts, the wedding piece, the chorale, and the fugues. But why put them together?

Why “Aus tiefer Noth”?
One answer may lie in the important significance the music of Mendelssohn’s faith had in his life. For example, in the top right-hand corner of many pieces he wrote “Hilf du mir” or “H.d.m.” (“Help thou me”) before he began work. According to my Evangelisches Gesangbuch, “Aus tiefer Noth” is the chorale for the week of the eleventh Sunday after Trinity.11 Mendelssohn, in his letter of April 14, 1829 from Hamburg, where he made a visit before embarking on his first trip to England, wrote that he couldn’t comment on theatre and music in that city since everything was closed during Holy Week there.12 That would place the eleventh Sunday after Trinity near August 25, just the time when he was in Wales, where he wrote a long letter to his father that day from Llangollen, in which said he had “done a little composing.”13 These documents show how he could have decided to use the chorale for that week as the basis for a triumphant expression of joy celebrating Fanny’s marriage. Years later, as he assembled the sonatas, remembering the relation of the chorale to Fanny’s piece, he added two fugues over the same chorale.
Why two fugues rather than just one? Could it be that Mendelssohn was thinking of the two fugues as a memory of the two young martyrs who influenced Martin Luther’s first complete chorale, “Aus tiefer Noth”??

The Bedient Pipe Organ Company celebrated its 30th anniversary with a special program on November 5, 2000 at St. Vincent de Paul Parish, Omaha, Nebraska. An audience of approximately 600 attended a recital performed by George Ritchie and Quentin Faulkner, both of whom are professors of organ the University of Nebraska, Lincoln.

The program: Prelude and Fugue in C, Böhm (Quentin Faulkner); Allein Gott in der Höh sei Ehr, S. 662, In dulci jubilo, S. 608, Herr Gott, nun schluess den Himmel auf, S. 617, Herr Jesu Christ dich zu uns wend, S. 632, Prelude and Fugue in a, S. 543, Bach; Fantasy for Organ, Roberts (George Ritchie); Fifth Symphony, Widor (Quentin Faulkner).

Father Dennis Hanneman, Pastor of St. Vincent de Paul Parish, welcomed the audience at the beginning of the recital. Gene Bedient addressed the audience later in the program, providing some reflections on the company's first 30 years and introducing Bedient staff members present at the recital. A reception followed the recital.

Several Bedient instruments are shown here. Bedient is currently building instruments for the UCC Headquarters Chapel, Cleveland, Ohio; St. Vincent de Paul Catholic Church, Rogers, Arkansas; and St. Paul United Methodist Church, Lincoln, Nebraska. Future contracts include a major instrument for Mary Our Queen Catholic Church, Norcross, Georgia.